tote up vs sum

tote up is not a noun while sum is a noun.

Word	Noun	Adjective	Verb	Adverb
tote up	No	No	Yes	No
sum	Yes	No	Yes	No

As verbs, tote up and sum are synonyms defined as:

Other synonyms of tote up include add, add together, add up, sum up, summate, tally, tot, tot up, total.

tote up (noun)	sum (noun)
	the whole amount
	the choicest or most essential or most vital part of some idea or experience
	a quantity obtained by the addition of a group of numbers
	the final aggregate
	a set containing all and only the members of two or more given sets
	a quantity of money

tote up (verb)	sum (verb)
determine the sum of	determine the sum of
	be a summary of