Can I get C++ type names in a constexpr way?

I would like to use the name of a type at compile time. For example, suppose I've written:

constexpr size_t mx_strlen(const char* s)
{
        const char* cp = s;
        while(*cp != '\0') { cp++; };
        return cp - s;
}

and now I want to have:

template <typename T>
constexpr auto type_name_length = my_strlen(typeid(T).name());

But alas, typeid(T).name() is just const char*, not constexpr... is there some other, constexpr way to get a type's name?