[bmm6o]

You aren't going to get helpful answers from such a general question. Furthermore, titles are somewhat arbitrary and only have convention to define them. If you are a 2-person startup and the only employees are a CEO and a CTO, well someone better write the code. If you are the CTO of Amazon (to pick an example), I have to imagine that you are too busy with vision and strategy to even think about coding. If your company is somewhere in between there, then maybe your CTO's responsibilities are somewhere in between.

It also depends on the type of company. Does Tesla's CTO know how to code?