The number 2016 is 11111100000 in binary. Years whose binary representations are just 1s followed by 0s have been rare for a thousand years, but we’re going to get more and more in the next few decades:

201611111100000
203211111110000
204011111111000
204411111111100
204611111111110
204711111111111
2048100000000000

And then no more until the 31st century. So enjoy them while they last!