102202210111120 has 160 divisors (see below), whose sum is σ = 274500659690496. Its totient is φ = 34663023705600.

The previous prime is 102202210111103. The next prime is 102202210111147. The reversal of 102202210111120 is 21111012202201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102202210111094 and 102202210111103.

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, 40170535 + ... + 42638905.

Almost surely, 2^{102202210111120} is an apocalyptic number.

102202210111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137250329845248).

102202210111120 is an abundant number, since it is smaller than the sum of its proper divisors (172298449579376).

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

102202210111120 is a wasteful number, since it uses less digits than its factorization.

102202210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469189 (or 2469183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202210111120 its reverse (21111012202201), we get a palindrome (123313222313321).

The spelling of 102202210111120 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".