102211132122120 has 160 divisors (see below), whose sum is σ = 357717678318720. Its totient is φ = 23362544419200.

The previous prime is 102211132122107. The next prime is 102211132122137. The reversal of 102211132122120 is 21221231112201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177087856 + ... + 177664095.

It is an arithmetic number, because the mean of its divisors is an integer number (2235735489492).

Almost surely, 2^{102211132122120} is an apocalyptic number.

102211132122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211132122120 is an abundant number, since it is smaller than the sum of its proper divisors (255506546196600).

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

102211132122120 is an equidigital number, since it uses as much as digits as its factorization.

102211132122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354751993 (or 354751968 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 102211132122120 its reverse (21221231112201), we get a palindrome (123432363234321).

The spelling of 102211132122120 in words is "one hundred two trillion, two hundred eleven billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".