102112021121656 has 128 divisors (see below), whose sum is σ = 237923655298560. Its totient is φ = 40005264960000.

The previous prime is 102112021121653. The next prime is 102112021121657. The reversal of 102112021121656 is 656121120211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112021121653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238225531 + ... + 238653781.

It is an arithmetic number, because the mean of its divisors is an integer number (1858778557020).

Almost surely, 2^{102112021121656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112021121656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118961827649280).

102112021121656 is an abundant number, since it is smaller than the sum of its proper divisors (135811634176904).

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

102112021121656 is a wasteful number, since it uses less digits than its factorization.

102112021121656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431445 (or 431441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 102112021121656 its reverse (656121120211201), we get a palindrome (758233141332857).

The spelling of 102112021121656 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, one hundred twenty-one thousand, six hundred fifty-six".