102112221120 has 672 divisors, whose sum is σ = 417217969728. Its totient is φ = 20957626368.

The previous prime is 102112221089. The next prime is 102112221149. The reversal of 102112221120 is 21122211201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102112221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22623984 + ... + 22628496.

It is an arithmetic number, because the mean of its divisors is an integer number (620860074).

Almost surely, 2^102112221120 is an apocalyptic number.

102112221120 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 102112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208608984864).

102112221120 is an abundant number, since it is smaller than the sum of its proper divisors (315105748608).

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

102112221120 is a wasteful number, since it uses less digits than its factorization.

102112221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112221120 its reverse (21122211201), we get a palindrome (123234432321).

The spelling of 102112221120 in words is "one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".