112100100089 has 2 divisors, whose sum is σ = 112100100090. Its totient is φ = 112100100088.

The previous prime is 112100100083. The next prime is 112100100127. The reversal of 112100100089 is 980001001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95115494464 + 16984605625 = 308408^2 + 130325^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100100089 - 2²⁰ = 112099051513 is a prime.

It is not a weakly prime, because it can be changed into another prime (112100100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050050044 + 56050050045.

It is an arithmetic number, because the mean of its divisors is an integer number (56050050045).

Almost surely, 2^112100100089 is an apocalyptic number.

It is an amenable number.

112100100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100100089 is an equidigital number, since it uses as much as digits as its factorization.

112100100089 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 23.

The spelling of 112100100089 in words is "one hundred twelve billion, one hundred million, one hundred thousand, eighty-nine".