102112221112000 has 448 divisors, whose sum is σ = 278669404316160. Its totient is φ = 36755596800000.

The previous prime is 102112221111997. The next prime is 102112221112051. The reversal of 102112221112000 is 211122211201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11232227455 + ... + 11232236545.

Almost surely, 2^{102112221112000} is an apocalyptic number.

102112221112000 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 102112221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334702158080).

102112221112000 is an abundant number, since it is smaller than the sum of its proper divisors (176557183204160).

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

102112221112000 is a wasteful number, since it uses less digits than its factorization.

102112221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10389 counting only the distinct ones).

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

Adding to 102112221112000 its reverse (211122211201), we get a palindrome (102323343323201).

It can be divided in two parts, 1021122 and 21112000, that added together give a palindrome (22133122).

The spelling of 102112221112000 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand".