It is good. It has bad sides, but even those, I feel, are good because they help raise your awareness.

When my oldest son was a baby, I stayed at home and took care of him for a period of around half a year while my wife worked full-time.

The actual work was good: it gave me a chance to become a much more involved parent, and to get to know my son better. He is turning 10 years old this summer, but I still feel like I've got a closer relationship to him than I would have without the experience of staying at home with him.

What was bad, was experiencing discrimination first-hand. It was often sad and lonely, and sometimes infuriating. I feel I've benefited from having experienced it though, it's made me more compassionate towards other discriminated groups because I know what it's like.

As a father, you're systematically and constantly told in a million and one big and small ways that your parenthood is secondary to that of the mother. I'll mention a few examples to give you a feel for it, but the list could never be exhaustive:

• Mid-wifes often arrange social groups where you can meet and talk to other fresh parents and exchange experiences. I went once, thinking it'd be nice with some social contact to other people in a similar situation. On arriving, I was asked if I was looking for my wife. Everyone else present was female. A fair bit of the time was spent talking about problems with men. Sitting as the sole male and hear a group of women talk about how shitty men can be was perhaps a educative experience, but I did not feel welcome and I did not go back a second time.
• Stores in Germany at the time marked and reserved special parking-spaces near the entrance of the shop for "Mother & Child".
• Sometimes, the diaper-changing facilities where integrated with the womens toilet, similar facilities where not available in the mens toilet.
• Socially I was isolated. In Germany few men stay at home with their kids, while many women do. Thus I'd take a stroll with the kid and witness tons of groups of young mothers chatting with each-other in cafes and parks. It was rare to meet any other men. I'd talk to the women, sometimes, but I always felt like the odd-one-out. Paradoxically this was true even though I've got many female friends in general. It's just that in my normal social settings I'm not the sole man. (Example: I've got plenty of female friends on Quora, and that's fine and good, it would however feel exceedingly weird to me if I was the ONLY man here.)
• Despite me being the primary caretaker, and explicitly telling kindergarden, doctors and others about this, they'd still reflexively call my wife whenever they wanted to contact us as parents, she'd then have to ask them to talk to me about it. Repeatedly. (this problem persists: I am still unable to convince the school my children attends that I, as a father, can be contacted about issues with my kids. If a kid is sick and needs to be picked up, they will for example make 6-7 attempts at calling my wife (who may be in a meeting or something) and get increasingly frantic if they can't reach her - yet not even make a single attempt at calling me. (my number is listed directly next to hers)
• Several laws "default" to the mother. For example, when we wanted the child-subsidy paid to our shared account, rather than to an account belonging solely to my wife, I needed a signed statement from her that this was OK. In contrast, the same money would've been paid automatically to an account purely in her name, with no consent from my side being required for this. The implication here is that fathers can't be trusted by default, but mothers can.
  
• People will keep assuming you're secondary, even when faced with clear evidence to the contrary. Several people attempted to praise me by telling me how nice it is that I am "helping my wife with the kids". It's not praise. It's insulting. I'm a father, I'm not an "assistant". And it's not my wife's kids, it's our shared kids, I'm taking care of them because they're my kids, not because I'm "helping" with a task that "really" belongs to her.
  

Overall, I highly recommend it. Despite the annoyances. Even those serve a "purpose" of sorts: they are a useful reminder that we still live in a society where there's very strong cultural norms for what the "proper" roles for a man or a woman is, and where a multitude of discouragements, big and small, are dished out to anyone who dares to break the norms.