100111101110117 has 2 divisors, whose sum is σ = 100111101110118. Its totient is φ = 100111101110116.

The previous prime is 100111101110089. The next prime is 100111101110129. The reversal of 100111101110117 is 711011101111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99868723112356 + 242377997761 = 9993434^2 + 492319^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111101110117 - 2⁸ = 100111101109861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111101110095 and 100111101110104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111101110417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550555058 + 50055550555059.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550555059).

Almost surely, 2^{100111101110117} is an apocalyptic number.

It is an amenable number.

100111101110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111101110117 is an equidigital number, since it uses as much as digits as its factorization.

100111101110117 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 17.

Adding to 100111101110117 its reverse (711011101111001), we get a palindrome (811122202221118).

The spelling of 100111101110117 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred seventeen".