100111001017 has 2 divisors, whose sum is σ = 100111001018. Its totient is φ = 100111001016.

The previous prime is 100111001009. The next prime is 100111001057. The reversal of 100111001017 is 710100111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80231129001 + 19879872016 = 283251^2 + 140996^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111001017 - 2³ = 100111001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111000988 and 100111001006.

It is not a weakly prime, because it can be changed into another prime (100111001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500508 + 50055500509.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500509).

Almost surely, 2^100111001017 is an apocalyptic number.

It is an amenable number.

100111001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001017 is an equidigital number, since it uses as much as digits as its factorization.

100111001017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100111001017 its reverse (710100111001), we get a palindrome (810211112018).

The spelling of 100111001017 in words is "one hundred billion, one hundred eleven million, one thousand, seventeen".