unreadability
Noun
Meaning
The property of being impossible to read.
The property of being unfit for reading.
Source: en.wiktionary.orgSynonyms
Examples
He bought a bird in its own cage, with a sheet over it so no one could see the bird and the bird couldn't see anyone, and the whole thing was a secret bird... Everything he said was tinged with the unreadability of someone who would bring a bird on cruise ship.