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1.
Refers to the Nerdfighter community which has grown up around the Green brothers' Youtube channel, vlogbrothers.

Although the population of Nerdfighteria is scattered internationally, the citizens have united numerous times to decrease worldsuck through super secret projects, other charitable events, scavenger hunts, video montages, happy dancing, and gatherings.
by dictionary nerdfighter September 03, 2008
 
2.
The Utopian island nation planned by followers of the Vlogbrothers (John and Hank Green) or Nerdfighters.
Where should the Island of Nerdfighteria be?
by C-φ-D August 21, 2009
 
3.
A collective form of address, addressing Nerdfighters; The mythical utopian island nation in which all Nerdfighters live, a nation free of WorldSuck
"Hello, Nerdfighteria!"

"I can't think of a better place to live than Nerdfighteria."
by Finefur June 07, 2012