Surely there's a better medium for long-term storage than paper? I can see this working for small documents, but if you have to print out thousands of pages you mine as well store the data on some kind of USB and maybe just print out the key shards.
The short version is you should use archival grade acid-free paper (acid breaks down ink and the page over time) and prefer encapsulation (storing inside an intert sleeve with the end taped or threaded closed) over hot lamination (the vinyl acetate in the laminate accelerates degredation).
We have managed to keep documents much older than 100 years in usable condition under far less ideal circumstances.