112100100111089 has 2 divisors, whose sum is σ = 112100100111090. Its totient is φ = 112100100111088.

The previous prime is 112100100111067. The next prime is 112100100111091. The reversal of 112100100111089 is 980111001001211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112075400845489 + 24699265600 = 10586567^2 + 157160^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100100111089 - 2¹² = 112100100106993 is a prime.

Together with 112100100111091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112100100911089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050050055544 + 56050050055545.

It is an arithmetic number, because the mean of its divisors is an integer number (56050050055545).

Almost surely, 2^{112100100111089} is an apocalyptic number.

It is an amenable number.

112100100111089 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100100111089 is an equidigital number, since it uses as much as digits as its factorization.

112100100111089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 26.

The spelling of 112100100111089 in words is "one hundred twelve trillion, one hundred billion, one hundred million, one hundred eleven thousand, eighty-nine".