102210011100120 has 192 divisors, whose sum is σ = 389118632486400. Its totient is φ = 21238443851520.

The previous prime is 102210011100103. The next prime is 102210011100163. The reversal of 102210011100120 is 21001110012201.

It is a super-2 number, since 2×102210011100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102210011100096 and 102210011100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790056000 + ... + 790185359.

It is an arithmetic number, because the mean of its divisors is an integer number (2026659544200).

Almost surely, 2^{102210011100120} is an apocalyptic number.

102210011100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210011100120 is an abundant number, since it is smaller than the sum of its proper divisors (286908621386280).

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

102210011100120 is a wasteful number, since it uses less digits than its factorization.

102210011100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580241398 (or 1580241387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210011100120 its reverse (21001110012201), we get a palindrome (123211121112321).

The spelling of 102210011100120 in words is "one hundred two trillion, two hundred ten billion, eleven million, one hundred thousand, one hundred twenty".