Did he give me a fake number on purpose?

I don't know if guys do this or what but if a girl asks a guy for his number & she lowkey likes him & they have spoken plenty of times before he smiles at her too. So she asks him for it but she forgets she doesn't have her phone with her so he insists he takes her number on his phone but she doesn't give it to him either way so she takes out her pen & paper & tells him to write it so she does. She texts him saying hey & figures it's a fake number. Why couldn't he be honest about not liking to give out his personal info out?
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Did he give her * a fake number?
Did he give me a fake number on purpose?
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