102256120720 has 80 divisors (see below), whose sum is σ = 256140605952. Its totient is φ = 37740326400.

The previous prime is 102256120711. The next prime is 102256120727. The reversal of 102256120720 is 27021652201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102256120727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633769 + ... + 2672311.

Almost surely, 2^102256120720 is an apocalyptic number.

102256120720 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 102256120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128070302976).

102256120720 is an abundant number, since it is smaller than the sum of its proper divisors (153884485232).

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

102256120720 is a wasteful number, since it uses less digits than its factorization.

102256120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120 (or 41114 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 102256120720 its reverse (27021652201), we get a palindrome (129277772921).

The spelling of 102256120720 in words is "one hundred two billion, two hundred fifty-six million, one hundred twenty thousand, seven hundred twenty".