100010100017 has 4 divisors (see below), whose sum is σ = 100010734320. Its totient is φ = 100009465716.

The previous prime is 100010100011. The next prime is 100010100041. The reversal of 100010100017 is 710001010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010099980 and 100010100007.

It is not an unprimeable number, because it can be changed into a prime (100010100011) 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, 122618 + ... + 463740.

It is an arithmetic number, because the mean of its divisors is an integer number (25002683580).

Almost surely, 2^100010100017 is an apocalyptic number.

It is an amenable number.

100010100017 is a deficient number, since it is larger than the sum of its proper divisors (634303).

100010100017 is an equidigital number, since it uses as much as digits as its factorization.

100010100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634302.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 100010100017 its reverse (710001010001), we get a palindrome (810011110018).

It can be divided in two parts, 10001010001 and 7, that multiplied together give a palindrome (70007070007).

The spelling of 100010100017 in words is "one hundred billion, ten million, one hundred thousand, seventeen".