Determining the exact number of atoms in the universe is a challenging task due to its vastness and the limitations of our current knowledge. However, we can provide an estimation based on observable data.
The observable universe is estimated to contain around 10^80 atoms. This estimation is based on the estimated number of galaxies, the number of stars in each galaxy, and the average number of atoms in a star. It's important to note that this number represents a rough estimate and can vary based on different assumptions and calculations.
Now, let's compare the number of atoms in the universe to the size of a proton or an atom.
A proton, one of the subatomic particles found in the nucleus of an atom, has a radius of approximately 0.84 femtometers (10^-15 meters). An atom, which consists of a nucleus (containing protons and neutrons) surrounded by electrons, has a radius on the order of picometers (10^-12 meters).
In comparison, the estimated size of the observable universe is about 93 billion light-years in diameter, which corresponds to roughly 8.8 x 10^26 meters.
Given these values, we can see that the number of atoms in the universe is significantly larger than the ratio of the size of a proton or an atom to the size of the universe. The number of atoms in the universe (10^80) is an incredibly large quantity, while the size of a proton or an atom is several orders of magnitude smaller.
Please note that these estimates are based on current scientific understanding, which is subject to refinement and further discoveries.