2100112025101 has 2 divisors, whose sum is σ = 2100112025102. Its totient is φ = 2100112025100.

The previous prime is 2100112025087. The next prime is 2100112025149. The reversal of 2100112025101 is 1015202110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2059873671076 + 40238354025 = 1435226^2 + 200595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100112025101 - 2²⁵ = 2100078470669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100112025161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050056012550 + 1050056012551.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056012551).

Almost surely, 2^{2100112025101} is an apocalyptic number.

It is an amenable number.

2100112025101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100112025101 is an equidigital number, since it uses as much as digits as its factorization.

2100112025101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 2100112025101 its reverse (1015202110012), we get a palindrome (3115314135113).

The spelling of 2100112025101 in words is "two trillion, one hundred billion, one hundred twelve million, twenty-five thousand, one hundred one".