That's right, there's no such thing as 'alot.'** And while I've got your attention 'there's' is singular, as in 'There's a small hotel, by a wishing well.' As opposed to 'There're wishing wells, by some small hotels.' (plural). You'll rarely see 'there're' anymore, and I think that's a tragedy of small proportions (compared with all the serious problems of the world, I mean). I still say and write it, however.
Maybe I've said some of this before, but in the newspapers and on Facebook and on t.v. and in the classrooms of the nation, they don't seem to understand.
** I know some of you don't believe me, so look at it this way. You wouldn't say 'abunch' of flowers or 'apile' of laundry or 'aheap' of trouble. So you wouldn't say 'alot' of homework.
Keep trying. We all have trouble with the language. English is not easy, even for those of us who grew up with it.