102011321120 has 96 divisors (see below), whose sum is σ = 243442584000. Its totient is φ = 40391986176.

The previous prime is 102011321117. The next prime is 102011321173. The reversal of 102011321120 is 21123110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011321095 and 102011321104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24884831 + ... + 24888929.

It is an arithmetic number, because the mean of its divisors is an integer number (2535860250).

Almost surely, 2^102011321120 is an apocalyptic number.

102011321120 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 102011321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121721292000).

102011321120 is an abundant number, since it is smaller than the sum of its proper divisors (141431262880).

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

102011321120 is a wasteful number, since it uses less digits than its factorization.

102011321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102011321120 its reverse (21123110201), we get a palindrome (123134431321).

The spelling of 102011321120 in words is "one hundred two billion, eleven million, three hundred twenty-one thousand, one hundred twenty".