The Collaborative International Dictionary
Inodorousness
Inodorous \In*o"dor*ous\, a. [L. inodorus. See In- not, and Odorous.] Emitting no odor; wthout smell; scentless; odorless. -- In*o"dor*ous*ness, n.
Wiktionary
inodorousness
n. (context archaic English) The lack of odor.