atextual 

A person who does not communicate via text message or is unable to because of lack of technical prowess

"Oh you sent Chinatown larry a text. He is completely atextual and can't work his phone and would be more comfortable using pigeons to communicate

atextual by shim1 November 11, 2015

atextual 

a person who doesn't like to text using their cell phone

Joy doesn't like to text using her cell phone. She's atextual.

atextual by BriteWorld November 2, 2010

A-textual 

A person that will text both men and women, but never make any kind of sexual reference or overtones.

I refer to her as A-textual, because she will text me constantly, but will never respond to anything referring to sex or intimacy.

A-textual by tpcpmc December 28, 2009