100100111101117 has 2 divisors, whose sum is σ = 100100111101118. Its totient is φ = 100100111101116.

The previous prime is 100100111101091. The next prime is 100100111101129. The reversal of 100100111101117 is 711101111001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67575206331396 + 32524904769721 = 8220414^2 + 5703061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100111101117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100111101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111101187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055550558 + 50050055550559.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055550559).

Almost surely, 2^{100100111101117} is an apocalyptic number.

It is an amenable number.

100100111101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111101117 is an equidigital number, since it uses as much as digits as its factorization.

100100111101117 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 16.

Adding to 100100111101117 its reverse (711101111001001), we get a palindrome (811201222102118).

The spelling of 100100111101117 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred seventeen".