Is the total information in the (visible) universe compatible with the one on the surface of a black hole with the same radius? Is the total information available in the universe compatible with the entropy we would find on the surface of an hypothetical black hole whose radius is the visible universe one ($\sim14$ Gpc)?
We know that the entropy of a BH is proportional to its surface. I would love to discuss the possibility that we are actually living inside a BH, just in a toy model...  Of course keeping into account the actual BBR at 2,7 K. Is a totally insane direction?
 A: I won't comment on the "actually living inside a BH" idea, but here are some numeric comparisons, using entropy to quantify "information," and interpreting "radius" as "Schwarzschild radius."
According to [1], the entropy of the observable universe (excluding black holes)  is dominated by the cosmic microwave background photons. Based on this, and using 
$$
   1\text{ parsec}\sim 3\times 10^{16}\text{ meters},
\tag{1}
$$
we can very roughly estimate the entropy of the observable universe to be 
$$
S_\text{CMB}\sim 
\left(\frac{14\times 10^{9}\text{ parsecs}}{1\text{ millimeter}}\right)^3
\sim 10^{89}.
\tag{2}
$$
Inside the parentheses, the numerator is the radius of the observable universe, and the denominator is the wavelength of a typical CMB photon [2]. This is only a very crude estimate, of course.
For comparison, the Bekenstein-Hawking entropy associated with a black hole [3] is
$$
   S_\text{BH} = \frac{c^3}{\hbar G}\,\frac{A}{4} = \frac{A}{4L^2}
\tag{3}
$$
where $A$ is the area of the horizon with Schwarzschild radius $R$, and 
$$
L=\sqrt{\hbar G/c^3}\sim 1.6\times 10^{-35}\text{ meter}
$$
is the Planck length. According to equation (3), the entropy of a solar-mass black hole ($R\approx 3$ km) is $\sim 10^{77}$, and the entropy of a black hole with Schwarzschild radius 
$$
R\sim 14\times 10^9\text{ parsecs} \sim 4\times 10^{26}\text{ meters}
$$
would be
$$
   S_\text{BH} \sim 10^{123}.
$$
According to these estimates, the entropy of the observable universe, $\sim 10^{89}$, is much less than the entropy of a universe-sized black hole, $\sim 10^{123}$. I am practicing the art of understatement.

Reference:
[1] Section 4.5 in Harlow (2014), "Jerusalem Lectures on Black Holes and Quantum Information," http://arxiv.org/abs/1409.1231
[2] "CMB Spectrum," https://asd.gsfc.nasa.gov/archive/arcade/cmb_spectrum.html
[3] Sections I and II in Bousso (2002), "The holographic principle", https://arxiv.org/abs/hep-th/0203101
