egotism vs conceitedness

egotism and conceitedness both are nouns.

Word	Noun	Adjective	Verb	Adverb
egotism	Yes	No	No	No
conceitedness	Yes	No	No	No

As nouns, conceitedness is a hypernym of egotism; that is, conceitedness is a word with a broader meaning than egotism:

Other hypernyms of egotism include conceit, vanity.

egotism (noun)	conceitedness (noun)
an exaggerated opinion of your own importance	the trait of being unduly vain and conceited; false pride
an inflated feeling of pride in your superiority to others