102427572014000 has 160 divisors (see below), whose sum is σ = 248202963118656. Its totient is φ = 40882879641600.

The previous prime is 102427572013973. The next prime is 102427572014101. The reversal of 102427572014000 is 410275724201.

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, 5666172962 + ... + 5666191038.

Almost surely, 2^{102427572014000} is an apocalyptic number.

102427572014000 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 102427572014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124101481559328).

102427572014000 is an abundant number, since it is smaller than the sum of its proper divisors (145775391104656).

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

102427572014000 is a wasteful number, since it uses less digits than its factorization.

102427572014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 102427572014000 in words is "one hundred two trillion, four hundred twenty-seven billion, five hundred seventy-two million, fourteen thousand".