It seems like YouTube is down for the last 30 min’s for me. In all the years I have used it; never once have I experienced this. When I navigate to the site I get the following:

500 Internal Server Error

Sorry, something went wrong.

A team of highly trained monkeys has been dispatched to deal with this situation.

If you see them, show them this information:

Here are the tail end of my network trace:

6 ( 21.775 ms 16.708 ms 21.645 ms
7 ( 14.415 ms 22.714 ms 22.677 ms
8 ( 24.166 ms 23.137 ms 24.786 ms
9 ( 23.129 ms 23.138 ms 23.075 ms
10 ( 22.389 ms 22.850 ms 22.569 ms

I had reached out to the public community and it seems like many others also are experiencing the same.
After checking this issue, it seems like the mobile app of YouTube is also down.