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:
| 2016 | 11111100000 |
| 2032 | 11111110000 |
| 2040 | 11111111000 |
| 2044 | 11111111100 |
| 2046 | 11111111110 |
| 2047 | 11111111111 |
| 2048 | 100000000000 |
And then no more until the 31st century. So enjoy them while they last!