102122112001122 has 64 divisors (see below), whose sum is σ = 227226750768000. Its totient is φ = 33997422803904.

The previous prime is 102122112001109. The next prime is 102122112001139. The reversal of 102122112001122 is 221100211221201.

102122112001122 is a `hidden beast` number, since 10 + 212 + 211 + 200 + 11 + 22 = 666.

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 = 102122112001095 and 102122112001104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134266048 + ... + 135024500.

It is an arithmetic number, because the mean of its divisors is an integer number (3550417980750).

Almost surely, 2^{102122112001122} is an apocalyptic number.

102122112001122 is an abundant number, since it is smaller than the sum of its proper divisors (125104638766878).

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

102122112001122 is a wasteful number, since it uses less digits than its factorization.

102122112001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761632 (or 761626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122112001122 its reverse (221100211221201), we get a palindrome (323222323222323).

The spelling of 102122112001122 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, one hundred twenty-two".