102156379214400 has 1512 divisors, whose sum is σ = 445194243468000. Its totient is φ = 22091391221760.

The previous prime is 102156379214369. The next prime is 102156379214413. The reversal of 102156379214400 is 4412973651201.

102156379214400 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 637 + 9 + 2 + 1 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×102156379214400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10845772891 + ... + 10845782309.

Almost surely, 2^{102156379214400} is an apocalyptic number.

102156379214400 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 102156379214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222597121734000).

102156379214400 is an abundant number, since it is smaller than the sum of its proper divisors (343037864253600).

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

102156379214400 is a wasteful number, since it uses less digits than its factorization.

102156379214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 102156379214400 in words is "one hundred two trillion, one hundred fifty-six billion, three hundred seventy-nine million, two hundred fourteen thousand, four hundred".