101514901725072 has 120 divisors (see below), whose sum is σ = 310724803321920. Its totient is φ = 30683011319040.

The previous prime is 101514901725049. The next prime is 101514901725077. The reversal of 101514901725072 is 270527109415101.

101514901725072 is a `hidden beast` number, since 1 + 0 + 1 + 51 + 4 + 90 + 1 + 7 + 2 + 507 + 2 = 666.

It is a super-2 number, since 2×101514901725072² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101514901725077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81758748 + ... + 82991099.

It is an arithmetic number, because the mean of its divisors is an integer number (2589373361016).

Almost surely, 2^{101514901725072} is an apocalyptic number.

101514901725072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101514901725072 is an abundant number, since it is smaller than the sum of its proper divisors (209209901596848).

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

101514901725072 is a wasteful number, since it uses less digits than its factorization.

101514901725072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164750261 (or 164750252 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 101514901725072 in words is "one hundred one trillion, five hundred fourteen billion, nine hundred one million, seven hundred twenty-five thousand, seventy-two".