102112101120000 has 480 divisors, whose sum is σ = 341540207648640. Its totient is φ = 27121152000000.

The previous prime is 102112101119989. The next prime is 102112101120031. The reversal of 102112101120000 is 21101211201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×102112101120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 963787029 + ... + 963892971.

It is an arithmetic number, because the mean of its divisors is an integer number (711542099268).

Almost surely, 2^{102112101120000} is an apocalyptic number.

102112101120000 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 102112101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170770103824320).

102112101120000 is an abundant number, since it is smaller than the sum of its proper divisors (239428106528640).

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

102112101120000 is an equidigital number, since it uses as much as digits as its factorization.

102112101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106239 (or 106204 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112101120000 its reverse (21101211201), we get a palindrome (102133202331201).

The spelling of 102112101120000 in words is "one hundred two trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand".