100111110017 has 2 divisors, whose sum is σ = 100111110018. Its totient is φ = 100111110016.

The previous prime is 100111110013. The next prime is 100111110019. The reversal of 100111110017 is 710011111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60064696561 + 40046413456 = 245081^2 + 200116^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111110017 - 2² = 100111110013 is a prime.

Together with 100111110019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111109983 and 100111110010.

It is not a weakly prime, because it can be changed into another prime (100111110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555008 + 50055555009.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555009).

Almost surely, 2^100111110017 is an apocalyptic number.

It is an amenable number.

100111110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110017 is an equidigital number, since it uses as much as digits as its factorization.

100111110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 100111110017 its reverse (710011111001), we get a palindrome (810122221018).

It can be divided in two parts, 10011111001 and 7, that multiplied together give a palindrome (70077777007).

The spelling of 100111110017 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, seventeen".