According to the Wired story on it, it's four 25,000 square foot data center buildings[1]. That's smaller than one of Apple's
smaller data centers. Apple's Oregon one is going to be 500,000 square feet.
It's not going to be able to hold more than an average size datacenter, and there are a lot of data centers out there, each holding more data that would have to be copied. The NSA has huge capabilities, but they're not nearly there yet. Most of what we should be worried about is their legal capabilities.
edit: it's also worth noting that the wikipedia article's source is the wired article, and all the wired article says is that a DoD report says that they need to start designing their network to handle yottabytes, which isn't even related to the NSA's data center. Wired then does some interpolation by using "yottabyte" to make the requirements of the data center sound big, but they never say that it was designed to handle that level of data or that it will ever be able to handle that level of data (in fact, they never even cite any level of data that it was designed to handle). But the Wikipedia article cites the Wired article, and suddenly it's become "a data storage facility for the United States Intelligence Community that is designed to store data on the scale of yottabytes".
[1] http://www.wired.com/threatlevel/2012/03/ff_nsadatacenter/al...
[2] http://appleinsider.com/articles/12/08/16/apples_oregon_data...