Yes....indeed.We are in the 21st century
21st century started on 1 January 2000 and will end 31 December 2100
Depends where one starts the count from though. There are a multitude of different cultures around the world that doesnt align to the Gregorian count. The joys of multiculturalism. In fact more of the world's population culturally align to a different date (culturally of course..as to your initial point) than the gregorian.
And why the gregorian count at all one might ask.
Back on track though....its indeed a funny story were it not for the sheer stupidity.