101516387468025 has 24 divisors (see below), whose sum is σ = 176674133981920. Its totient is φ = 51292490509440.

The previous prime is 101516387467993. The next prime is 101516387468107. The reversal of 101516387468025 is 520864783615101.

It is a happy number.

It is not a de Polignac number, because 101516387468025 - 2⁵ = 101516387467993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35619783652 + ... + 35619786501.

Almost surely, 2^{101516387468025} is an apocalyptic number.

101516387468025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101516387468025 is a deficient number, since it is larger than the sum of its proper divisors (75157746513895).

101516387468025 is a wasteful number, since it uses less digits than its factorization.

101516387468025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71239570185 (or 71239570180 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 101516387468025 in words is "one hundred one trillion, five hundred sixteen billion, three hundred eighty-seven million, four hundred sixty-eight thousand, twenty-five".