Yes, the 21st century officially began about 9 years ago (there was a huge debate at the time over the exact demarkation point, whether it was Janury 1, 2000, or January 1, 2001, but in either case it is in the past now).
because year 1 to 99 was the first, so it still counts as a century .(by the way, if you don't know, a century is 100 years.) take out the last 2 digits in the year you're in and add 1, and that's...