fruitlessness vs barrenness

fruitlessness and barrenness both are nouns.

Word	Noun	Adjective	Verb	Adverb
fruitlessness	Yes	No	No	No
barrenness	Yes	No	No	No

As nouns, fruitlessness and barrenness are synonyms defined as:

Other synonyms of fruitlessness include aridity.

fruitlessness (noun)	barrenness (noun)
the quality of yielding nothing of value	the quality of yielding nothing of value
a lack of creative imagination	the state (usually of a woman) of having no children or being unable to have children