Synonyms for Sterility (same or very similar meaning)
WordNet sense 1 ((of non-living objects) the state of being free of pathogenic organisms):
antisepsis, asepsis, sterileness
WordNet sense 2 (the state of being unable to produce offspring; in a woman it is an inability to conceive; in a man it is an inability to impregnate):
infertility
From the ODE community, based on WordNet
add/edit