102100055472000 has 1280 divisors, whose sum is σ = 415356186960000. Its totient is φ = 24741332582400.

The previous prime is 102100055471929. The next prime is 102100055472061. The reversal of 102100055472000 is 274550001201.

102100055472000 is a `hidden beast` number, since 1 + 0 + 2 + 100 + 0 + 554 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 638848101 + ... + 639007899.

Almost surely, 2^{102100055472000} is an apocalyptic number.

102100055472000 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 102100055472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207678093480000).

102100055472000 is an abundant number, since it is smaller than the sum of its proper divisors (313256131488000).

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

102100055472000 is a wasteful number, since it uses less digits than its factorization.

102100055472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159886 (or 159855 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 102100055472000 in words is "one hundred two trillion, one hundred billion, fifty-five million, four hundred seventy-two thousand".