101252672717 has 32 divisors (see below), whose sum is σ = 122566625280. Its totient is φ = 81796397760.

The previous prime is 101252672693. The next prime is 101252672749. The reversal of 101252672717 is 717276252101.

It is not a de Polignac number, because 101252672717 - 2¹⁴ = 101252656333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252672767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22090808 + ... + 22095390.

It is an arithmetic number, because the mean of its divisors is an integer number (3830207040).

Almost surely, 2^101252672717 is an apocalyptic number.

It is an amenable number.

101252672717 is a deficient number, since it is larger than the sum of its proper divisors (21313952563).

101252672717 is a wasteful number, since it uses less digits than its factorization.

101252672717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 101252672717 in words is "one hundred one billion, two hundred fifty-two million, six hundred seventy-two thousand, seven hundred seventeen".