101617213665617 has 8 divisors (see below), whose sum is σ = 115871211962856. Its totient is φ = 88282828161792.

The previous prime is 101617213665613. The next prime is 101617213665659. The reversal of 101617213665617 is 716566312716101.

It can be written as a sum of positive squares in 4 ways, for example, as 34211783639056 + 67405430026561 = 5849084^2 + 8210081^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101617213665617 - 2² = 101617213665613 is a prime.

It is a super-2 number, since 2×101617213665617² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101617213665613) 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, 229903198118 + ... + 229903198559.

It is an arithmetic number, because the mean of its divisors is an integer number (14483901495357).

Almost surely, 2^{101617213665617} is an apocalyptic number.

101617213665617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101617213665617 is a deficient number, since it is larger than the sum of its proper divisors (14253998297239).

101617213665617 is a wasteful number, since it uses less digits than its factorization.

101617213665617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459806396707.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 101617213665617 in words is "one hundred one trillion, six hundred seventeen billion, two hundred thirteen million, six hundred sixty-five thousand, six hundred seventeen".