100517210017 has 12 divisors (see below), whose sum is σ = 122012018496. Its totient is φ = 82411624680.

The previous prime is 100517209973. The next prime is 100517210047. The reversal of 100517210017 is 710012715001.

It is not a de Polignac number, because 100517210017 - 2²³ = 100508821409 is a prime.

It is a super-4 number, since 4×100517210017⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100517209973 and 100517210000.

It is not an unprimeable number, because it can be changed into a prime (100517210047) 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, 44593909 + ... + 44596162.

It is an arithmetic number, because the mean of its divisors is an integer number (10167668208).

Almost surely, 2^100517210017 is an apocalyptic number.

It is an amenable number.

100517210017 is a deficient number, since it is larger than the sum of its proper divisors (21494808479).

100517210017 is an equidigital number, since it uses as much as digits as its factorization.

100517210017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89190108 (or 89190101 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 25.

Adding to 100517210017 its reverse (710012715001), we get a palindrome (810529925018).

The spelling of 100517210017 in words is "one hundred billion, five hundred seventeen million, two hundred ten thousand, seventeen".