100200002017 has 2 divisors, whose sum is σ = 100200002018. Its totient is φ = 100200002016.

The previous prime is 100200002009. The next prime is 100200002033. The reversal of 100200002017 is 710200002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75776876176 + 24423125841 = 275276^2 + 156279^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200002017 - 2³ = 100200002009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200001988 and 100200002006.

It is not a weakly prime, because it can be changed into another prime (100200002087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100001008 + 50100001009.

It is an arithmetic number, because the mean of its divisors is an integer number (50100001009).

Almost surely, 2^100200002017 is an apocalyptic number.

It is an amenable number.

100200002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200002017 is an equidigital number, since it uses as much as digits as its factorization.

100200002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 100200002017 its reverse (710200002001), we get a palindrome (810400004018).

The spelling of 100200002017 in words is "one hundred billion, two hundred million, two thousand, seventeen".