Paper doesn't need electricity
Paper per se isn't so much of a problem as it can be produced from renewable resources in managed forests or other sources of cellulose, though of course many of the plantations of trees for paper have turned into boomerangs. It's great for archiving as it can't be wiped by magnets or EMP or require a dedicated device for reading.
And the real offenders, who print out a copy of nearly everything (all the pages of all the presentations in all the e-mails), are still at it.