102256229811264 has 224 divisors, whose sum is σ = 272177889984000. Its totient is φ = 33881495961600.

The previous prime is 102256229811209. The next prime is 102256229811271. The reversal of 102256229811264 is 462118922652201.

It is a super-2 number, since 2×102256229811264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43494779689 + ... + 43494782039.

It is an arithmetic number, because the mean of its divisors is an integer number (1215079866000).

Almost surely, 2^{102256229811264} 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 102256229811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136088944992000).

102256229811264 is an abundant number, since it is smaller than the sum of its proper divisors (169921660172736).

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

102256229811264 is a wasteful number, since it uses less digits than its factorization.

102256229811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 102256229811264 in words is "one hundred two trillion, two hundred fifty-six billion, two hundred twenty-nine million, eight hundred eleven thousand, two hundred sixty-four".