To some, the idea of 111111 is, well, amazing. However, it only works in the 12-month, Gregorian calendar and using the reference frame that has become commonplace in the world. However, if we used the Proleptic Julian date, today would be 2455876. The Julian calendar date of 2222222 occurred on February 11, 1372.
This makes us remember that year and day and month are rather arbitrarily constructed:
If we use the Japanese imperial year convention, it would be: 平成23年11月11日
If we used the Jewish calendar, it would be: 14 Heshvan 5772
If we used the Muslim calendar, it would be the 14 Duh'l-Hijja 1432
There are other calendars that one could also look at, but I think that you get the picture... Anyway, happy 11-11-11, or whatever day it is happens to be in your calendar. (After all, to my Aussie friends, it's already 12-11-11 down there.)