101516883801665 has 8 divisors (see below), whose sum is σ = 121823467345728. Its totient is φ = 81211369185520.

The previous prime is 101516883801637. The next prime is 101516883801667. The reversal of 101516883801665 is 566108388615101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101516883801665 - 2³⁴ = 101499703932481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101516883801667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267023027 + ... + 267402936.

It is an arithmetic number, because the mean of its divisors is an integer number (15227933418216).

Almost surely, 2^{101516883801665} is an apocalyptic number.

It is an amenable number.

101516883801665 is a deficient number, since it is larger than the sum of its proper divisors (20306583544063).

101516883801665 is an equidigital number, since it uses as much as digits as its factorization.

101516883801665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534463959.

The product of its (nonzero) digits is 8294400, while the sum is 59.

The spelling of 101516883801665 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, eight hundred one thousand, six hundred sixty-five".