I don't think this will be that big of an advantage. I know the first 20 digits of PI off the top of my head, but if you ask me to do something with this information it will still take some time. Having to look up the first 20 digits online would probably be a small portion of that time.
You can have instant access to information, but processing can still take time. I think the arithmetic part is actually more interesting. Being able to look at a table of numbers and running a statistical analysis on it would be very useful.
At the same time though, I think all of this is way harder than we think. Look at programming via voice. The current best UI for it is still pretty lackluster.