It’s not like there are people checking for immortals, I think it would be flagged by a dmv employee or something when they dont believe a clear 21 year old is actually 150. Let’s assume it’s current day im caught and not bring speculation on what the US is like in the year 2139 is like.
The circumstances where you’d be most likely to run into issues is where age plays an active role—e.g., Social Security or insurance. But those are probably avoidable if you’re careful. For anyone else where the date of birth wasn’t relevant to their job, they’d probably just ignore it or assume it was a typo.