100110102017 has 2 divisors, whose sum is σ = 100110102018. Its totient is φ = 100110102016.

The previous prime is 100110102011. The next prime is 100110102073. The reversal of 100110102017 is 710201011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77537743936 + 22572358081 = 278456^2 + 150241^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110102017 - 2¹² = 100110097921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110101992 and 100110102010.

It is not a weakly prime, because it can be changed into another prime (100110102011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055051008 + 50055051009.

It is an arithmetic number, because the mean of its divisors is an integer number (50055051009).

Almost surely, 2^100110102017 is an apocalyptic number.

It is an amenable number.

100110102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110102017 is an equidigital number, since it uses as much as digits as its factorization.

100110102017 is an evil number, because the sum of its binary digits is even.

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

Adding to 100110102017 its reverse (710201011001), we get a palindrome (810311113018).

The spelling of 100110102017 in words is "one hundred billion, one hundred ten million, one hundred two thousand, seventeen".