multilibrary

As a noun terms

is .

As an adjective multilibrary is

having or pertaining to more than one library.

As a noun library

is an institution which holds books and/or other forms of stored information for use by the public or qualified people it is usual, but not a defining feature of a library, for it to be housed in rooms of a building, to lend items of its collection to members either with or without payment, and to provide various other services for its community of users.

As an adjective multilibrary is

having or pertaining to more than one library.