Is there enough lithium in the world that we can mine to build enough batteries?

I have mostly seen claims to the contrary. However, there are other technologies that work very well at storing energy at industrial scales; phase change materials come to mind as promising.

My impression is that this sort of thing is not done already because nonrenewables are so cheap. Musk pays more attention to the energy markets than I do, so he might be correct that solar is going to happen in a big way in the near term, but I think this is more likely to be a conspicuous consumption thing than an economically wise thing for the next decade or so.