102112111120122 has 56 divisors (see below), whose sum is σ = 229649676299316. Its totient is φ = 34037002814976.

The previous prime is 102112111120069. The next prime is 102112111120127. The reversal of 102112111120122 is 221021111211201.

It is a happy number.

102112111120122 is a `hidden beast` number, since 1 + 0 + 211 + 211 + 1 + 120 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102000688012521 + 111423107601 = 10099539^2 + 333801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102112111120095 and 102112111120104.

It is not an unprimeable number, because it can be changed into a prime (102112111120127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 157193818 + ... + 157842074.

Almost surely, 2^{102112111120122} is an apocalyptic number.

102112111120122 is an abundant number, since it is smaller than the sum of its proper divisors (127537565179194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112111120122 is an equidigital number, since it uses as much as digits as its factorization.

102112111120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756314 (or 756299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102112111120122 its reverse (221021111211201), we get a palindrome (323133222331323).

The spelling of 102112111120122 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty-two".