Remember when IBM announced they'd built the largest filesystem in history? That was only 120PB. A YB is 10 million times bigger than that.
Consider also that a YB is 1000x the entire storage industry output from 2012. So under your theory there is a parallel hard disk drive industry consisting of at least 99% of all hard disk production on Earth.
Regardless, no one has theorized that the NSA storing yottabytes of data. The (still probably crazy) rumors are zettabytes.
"NSA to store yottabytes in Utah data centre" -- http://crave.cnet.co.uk/gadgets/nsa-to-store-yottabytes-in-u...;
You're off by a factor of 10-15 on the square footage. Per the wiki page, "The planned structure is 1 million or 1.5 million square feet."
Typical government installation. 90% overhead.
http://defensesystems.com/Articles/2011/01/07/NSA-spy-cyber-...
If you reduced Facebook's storage demands down to always static text, I think there's little doubt you could eliminate over 90% of their storage requirements (I'd say closer to 97%). And that's without any kind of compression.
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...
Why not? Most data centers aren't designed to store a bunch of stuff, but instead are designed to serve a lot of users. Facebook has at least one storage forward data center and it packs an exabyte into a 60k sqft footprint:
http://www.datacenterknowledge.com/archives/2013/01/18/faceb...;
I don't think the NSA has zettabytes at hand, but you can store a massive amount of stuff in 100k square feet.
So yes, the NSA does have a new datacenter. But no, it's not the new Area 51 nor is it host to magic computers.
http://en.wikipedia.org/wiki/Room_641A http://en.wikipedia.org/wiki/Carnivore_(software)
The bulk of the data transmission and storage costs are probably under another budget