specialness vs peculiarity

specialness and peculiarity both are nouns.

Word	Noun	Adjective	Verb	Adverb
specialness	Yes	No	No	No
peculiarity	Yes	No	No	No

As nouns, specialness and peculiarity are synonyms defined as:

Other synonyms of specialness include distinctiveness, speciality, specialty.

specialness (noun)	peculiarity (noun)
a distinguishing trait	something unusual -- perhaps worthy of collecting
the quality of being particular and pertaining to a specific case or instance	a distinguishing trait
	an odd or unusual characteristic