count vs tote up

count is a noun but tote up is not a noun.

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

As verbs, tote up is a hyponym of count; that is, tote up is a word with a more specific, narrower meaning than count:

Other hyponyms of count include recount, miscount, census, add, add together, add up, sum, sum up, summate, tally, tot, tot up, total.

count (noun)	tote up (noun)
the act of counting; reciting numbers in ascending order
a nobleman (in various countries) having rank equal to a British earl
the total number counted

count (verb)	tote up (verb)
include as if by counting	determine the sum of
have faith or confidence in
take account of
determine the number or amount of
name or recite the numbers in ascending order
show consideration for; take into account
have weight; have import, carry weight
put into a group
have a certain value or carry a certain weight