There is a whole lot more data extant than the extent of the universe. There are unreliable estimates of the data content of the holdings (digitized or not) of the Library of Congress, but they range up to the petabytes, or roughly 253 bits.
Yup, I only meant to illustrate how little data one can encode in a single length.
If I try to consider how much information the universe contains, I get genuinely scared/overwhelmed.

For illustration, consider a cubic meter of iron, about 7874 kg, containing about 8.5×10
28 ≃ 2
96 iron atoms. Iron has four stable isotopes, so in theory we could encode two bits per atom just by selecting the isotope, so that cubic meter of iron would then encode 2
97 bits of information.
How much is that? Well, if you unraveled that cubic meter into a monomolecular thread, just one atom wide, and you could read it at light speed, your bandwidth would be about 2
62 bits per second, some 500 Libraries of Congress per second. It would take about 1088 years to read the entire iron cube.
About 30% of Earth is iron, or about 2
69 cubic meters of it. That's just on Earth, mind you. Since iron is the end product of both fusion and fission chains, there is a lot of it in the universe. And this is just a single information storage method with zero compression, just picking between four well-known stable iron isotopes. There are much more dense methods; I just picked iron because it is utterly stable, easy to grasp, and Stephen Baxter wrote a story about it.