I've thought about this before, and as everyone is saying, it's a little hard to tell. I think they'll be remembered in the next 100 years, definitly. Probably even in the hundreds. If you think about it, they have more fans in the world than any other band, I'm guessing. And chances are that all of us fans will pass the Beatles down to our children, and they'll pass it down to theirs, and it will keep on going. I bet that my great, or even great great grandchildren will like the Beatles. It's really weird to think about, and it's impossible to tell for sure.
If they are still remembered in the next 150 or 200+ years, can you imagine what music will be like then? It's so weird to think about it. Like, after all the music the world has gone through, will people 200 years from now still think that the Beatles are great and in style?
I just wish that they will be rememered forever. Who knows? Maybe they will with the big impact they had.