101172006517 has 4 divisors (see below), whose sum is σ = 107123301036. Its totient is φ = 95220712000.

The previous prime is 101172006511. The next prime is 101172006527. The reversal of 101172006517 is 715600271101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 715600271101 = 47 ⋅15225537683.

It can be written as a sum of positive squares in 2 ways, for example, as 52260703236 + 48911303281 = 228606^2 + 221159^2 .

It is a cyclic number.

It is not a de Polignac number, because 101172006517 - 2⁷ = 101172006389 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 (101172006511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2975647234 + ... + 2975647267.

It is an arithmetic number, because the mean of its divisors is an integer number (26780825259).

Almost surely, 2^101172006517 is an apocalyptic number.

101172006517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101172006517 is a deficient number, since it is larger than the sum of its proper divisors (5951294519).

101172006517 is an equidigital number, since it uses as much as digits as its factorization.

101172006517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951294518.

The product of its (nonzero) digits is 2940, while the sum is 31.

Adding to 101172006517 its reverse (715600271101), we get a palindrome (816772277618).

The spelling of 101172006517 in words is "one hundred one billion, one hundred seventy-two million, six thousand, five hundred seventeen".