That's a big number
To get my head round it, I recently did some math to put it in context. My head is too frazzled to reproduce the proof on a Monday morning, but within reasonable tolerences:
If you were to store a yobibite of data on modern laptop drives, (say 70Gb capacity - that divides easily into the volume of the drive form factor), the volume of drives required would be around 1 cubic kilometer.
On the other hand, if you were somehow able to store a byte of information in a single molecule, then you could store a yobibyte in a single cup of really hot tea.
Andrew