I could talk about the historic armistice of 1918, of course. Eleventh day of the eleventh month, at the eleventh hour, wasn't it? In a detached car from the Orient Express, if I remember correctly.
Or I could go slightly sideways and discuss the sheer fun of Bilbo Baggins's "eleventy-first" birthday party (yes, I realize I'm missing one "1", but oh well).
I'd rather talk about my dorm room during my second year of college. Its number? You guessed it - 1111. In fact, I picked it for its number, as it didn't have much else to recommend it. In shape, an irregular pentagon that was very difficult to arrange furniture in if you wanted to have floor space. In size, well, you might be able to swing a cat in it, but only if it were a small and quite complacent cat. There were four of these rooms on each level of the tower in our dorm; not-so-affectionately called "wedge rooms", they were generally inhabited by sophomores (as were all four of them on the 11th floor). They absolutely sucked for having friends come and visit, as there wasn't enough space on the floor for anyone taller than about 3'9" to stretch out, and if you just wanted to hang out or do a group project of some sort, forget it - definitely had to shift to the lounge.
Yeah, okay, pretty boring. A room is a room, after all. So just for the heck of it I Googled "1111". Let me tell you, there is some seriously weird hooey out there. People babbling about angels hanging around when you notice the clock reads 11:11, for example - now, there's some delusional folks for you, sure enough. These so-called "mysterious" appearances of the number - hate to tell you guys, but *whispers* they happen twice a day. More if your clock is broken so it never leaves 11:11 in the first place.
How about looking at the number as its own entity? Factors, those are pretty cool - 1, 11, 101, 1111... I'm getting the strange urge to switch to binary at this point, anyone else? It's next year that it'll be super-important though, when 11/11/11 fits the bill. I'll bet there are already tons of weddings booked for that date.
As for me, I'll certainly keep my eyes peeled for anything odd around 11 o'clock today - just because I don't believe in something special doesn't mean it might not happen anyway...