10002100017 has 16 divisors (see below), whose sum is σ = 16413703040. Its totient is φ = 5275832832.

The previous prime is 10002099979. The next prime is 10002100027. The reversal of 10002100017 is 71000120001.

It is not a de Polignac number, because 10002100017 - 2⁸ = 10002099761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002099975 and 10002100011.

It is not an unprimeable number, because it can be changed into a prime (10002100027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18318592 + ... + 18319137.

It is an arithmetic number, because the mean of its divisors is an integer number (1025856440).

Almost surely, 2^10002100017 is an apocalyptic number.

It is an amenable number.

10002100017 is a deficient number, since it is larger than the sum of its proper divisors (6411603023).

10002100017 is a wasteful number, since it uses less digits than its factorization.

10002100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36637752.

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 10002100017 its reverse (71000120001), we get a palindrome (81002220018).

The spelling of 10002100017 in words is "ten billion, two million, one hundred thousand, seventeen".