112100122133101 has 2 divisors, whose sum is σ = 112100122133102. Its totient is φ = 112100122133100.

The previous prime is 112100122133071. The next prime is 112100122133203. The reversal of 112100122133101 is 101331221001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97392206825001 + 14707915308100 = 9868749^2 + 3835090^2 .

It is an emirp because it is prime and its reverse (101331221001211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112100122133101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112100122133401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050061066550 + 56050061066551.

It is an arithmetic number, because the mean of its divisors is an integer number (56050061066551).

Almost surely, 2^{112100122133101} is an apocalyptic number.

It is an amenable number.

112100122133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100122133101 is an equidigital number, since it uses as much as digits as its factorization.

112100122133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 112100122133101 its reverse (101331221001211), we get a palindrome (213431343134312).

The spelling of 112100122133101 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred one".