. . . a word.

You can write “a lot.”  It means the opposite of “a little.”  When you use it like that, it’s a noun.  “There are a lot of stones in that field.”

Or there is:  “a lot.”  Like, “He talks a lot.”  That’s an adverb, modifying “talks.”

Or, if what you mean is  to “give out,” “apportion,” “divide” or “distribute,” then you can use “allot.”  That’s a verb:  “I will allot them each a share of the award.”

Don’t ever write “alot.”