102122102211120 has 60 divisors (see below), whose sum is σ = 342960059928096. Its totient is φ = 27232560589440.

The previous prime is 102122102211091. The next prime is 102122102211139. The reversal of 102122102211120 is 21112201221201.

102122102211120 is a `hidden beast` number, since 1 + 0 + 212 + 210 + 221 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 102122102211093 and 102122102211102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70918125816 + ... + 70918127255.

Almost surely, 2^{102122102211120} is an apocalyptic number.

102122102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122102211120 is an abundant number, since it is smaller than the sum of its proper divisors (240837957716976).

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

102122102211120 is a wasteful number, since it uses less digits than its factorization.

102122102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141836253090 (or 141836253081 counting only the distinct ones).

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

Adding to 102122102211120 its reverse (21112201221201), we get a palindrome (123234303432321).

The spelling of 102122102211120 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, one hundred twenty".