100111109017 has 2 divisors, whose sum is σ = 100111109018. Its totient is φ = 100111109016.

The previous prime is 100111109011. The next prime is 100111109053. The reversal of 100111109017 is 710901111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94709447001 + 5401662016 = 307749^2 + 73496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111109017 is a prime.

It is a super-2 number, since 2×100111109017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111109011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055554508 + 50055554509.

It is an arithmetic number, because the mean of its divisors is an integer number (50055554509).

Almost surely, 2^100111109017 is an apocalyptic number.

It is an amenable number.

100111109017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111109017 is an equidigital number, since it uses as much as digits as its factorization.

100111109017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 22.

The spelling of 100111109017 in words is "one hundred billion, one hundred eleven million, one hundred nine thousand, seventeen".