102112122112000 has 768 divisors, whose sum is σ = 342122882250240. Its totient is φ = 29378838528000.

The previous prime is 102112122111863. The next prime is 102112122112003. The reversal of 102112122112000 is 211221211201.

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

It is not an unprimeable number, because it can be changed into a prime (102112122112003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256056762 + ... + 256455238.

It is an arithmetic number, because the mean of its divisors is an integer number (445472502930).

Almost surely, 2^{102112122112000} is an apocalyptic number.

102112122112000 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 102112122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171061441125120).

102112122112000 is an abundant number, since it is smaller than the sum of its proper divisors (240010760138240).

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

102112122112000 is a wasteful number, since it uses less digits than its factorization.

102112122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398545 (or 398515 counting only the distinct ones).

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

Adding to 102112122112000 its reverse (211221211201), we get a palindrome (102323343323201).

The spelling of 102112122112000 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand".