101517201085 has 8 divisors (see below), whose sum is σ = 121979060280. Its totient is φ = 81108148224.

The previous prime is 101517201061. The next prime is 101517201091. The reversal of 101517201085 is 580102715101.

It can be written as a sum of positive squares in 4 ways, for example, as 24431565636 + 77085635449 = 156306^2 + 277643^2 .

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 101517201085 - 2¹⁵ = 101517168317 is a prime.

It is a super-2 number, since 2×101517201085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13197352 + ... + 13205041.

It is an arithmetic number, because the mean of its divisors is an integer number (15247382535).

Almost surely, 2^101517201085 is an apocalyptic number.

It is an amenable number.

101517201085 is a deficient number, since it is larger than the sum of its proper divisors (20461859195).

101517201085 is an equidigital number, since it uses as much as digits as its factorization.

101517201085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26403167.

The product of its (nonzero) digits is 2800, while the sum is 31.

Adding to 101517201085 its reverse (580102715101), we get a palindrome (681619916186).

The spelling of 101517201085 in words is "one hundred one billion, five hundred seventeen million, two hundred one thousand, eighty-five".