2100122211013 has 2 divisors, whose sum is σ = 2100122211014. Its totient is φ = 2100122211012.

The previous prime is 2100122210983. The next prime is 2100122211023. The reversal of 2100122211013 is 3101122210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1858090681924 + 242031529089 = 1363118^2 + 491967^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122211013 - 2²⁹ = 2099585340101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100122211023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061105506 + 1050061105507.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061105507).

Almost surely, 2^{2100122211013} is an apocalyptic number.

It is an amenable number.

2100122211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122211013 is an equidigital number, since it uses as much as digits as its factorization.

2100122211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2100122211013 its reverse (3101122210012), we get a palindrome (5201244421025).

The spelling of 2100122211013 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, thirteen".