While Nintendo normally doesn't like to talk numbers when touting a new system's capabilities, the companies providing those capabilities have no such qualms.
Like IBM, who today issued a press release boasting some of the Wii U's hardware specifications, including the fact the microprocessor serving as "the heart" of the console is a custom 45nm chip, with embedded DRAM that "is capable of feeding the multi-core processor large chunks of data to make for a smooth entertainment experience".
So, 45nm chip, multi-core processor. It's not everything, but it's a start. The chips will be made at an IBM facility in New York.
Additionally, IBM tells Engadget that the processor is based on the same technology used in the Watson supercomputer, the one that's been kicking human arse lately. It's not the same, of course, but is at least based on the same technology.