systemizer vs orderer

systemizer and orderer both are nouns.

Word	Noun	Adjective	Verb	Adverb
systemizer	Yes	No	No	No
orderer	Yes	No	No	No

As nouns, systemizer and orderer are synonyms defined as:

Other synonyms of systemizer include systematiser, systematist, systematizer, systemiser.

systemizer (noun)	orderer (noun)
an organizer who puts things in order	an organizer who puts things in order
	someone who places an order to buy