101516883311275 has 12 divisors (see below), whose sum is σ = 128808398919112. Its totient is φ = 79324820447040.

The previous prime is 101516883311273. The next prime is 101516883311299. The reversal of 101516883311275 is 572113388615101.

It is not a de Polignac number, because 101516883311275 - 2¹ = 101516883311273 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101516883311273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47217153954 + ... + 47217156103.

Almost surely, 2^{101516883311275} is an apocalyptic number.

101516883311275 is a deficient number, since it is larger than the sum of its proper divisors (27291515607837).

101516883311275 is an equidigital number, since it uses as much as digits as its factorization.

101516883311275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94434310110 (or 94434310105 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 101516883311275 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, three hundred eleven thousand, two hundred seventy-five".