102232211320120 has 128 divisors (see below), whose sum is σ = 263668036464000. Its totient is φ = 34946496921600.

The previous prime is 102232211320111. The next prime is 102232211320133. The reversal of 102232211320120 is 21023112232201.

It is a junction number, because it is equal to n+sod(n) for n = 102232211320091 and 102232211320100.

It is a congruent number.

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, 133070856 + ... + 133836904.

It is an arithmetic number, because the mean of its divisors is an integer number (2059906534875).

Almost surely, 2^{102232211320120} is an apocalyptic number.

102232211320120 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 102232211320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131834018232000).

102232211320120 is an abundant number, since it is smaller than the sum of its proper divisors (161435825143880).

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

102232211320120 is a wasteful number, since it uses less digits than its factorization.

102232211320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767489 (or 767485 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102232211320120 its reverse (21023112232201), we get a palindrome (123255323552321).

The spelling of 102232211320120 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred eleven million, three hundred twenty thousand, one hundred twenty".