100001000110117 has 2 divisors, whose sum is σ = 100001000110118. Its totient is φ = 100001000110116.

The previous prime is 100001000110097. The next prime is 100001000110133. The reversal of 100001000110117 is 711011000100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99723111933316 + 277888176801 = 9986146^2 + 527151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001000110117 is a prime.

It is a super-2 number, since 2×100001000110117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001000110097 and 100001000110106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001000110177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000500055058 + 50000500055059.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500055059).

Almost surely, 2^{100001000110117} is an apocalyptic number.

It is an amenable number.

100001000110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001000110117 is an equidigital number, since it uses as much as digits as its factorization.

100001000110117 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 13.

Adding to 100001000110117 its reverse (711011000100001), we get a palindrome (811012000210118).

The spelling of 100001000110117 in words is "one hundred trillion, one billion, one hundred ten thousand, one hundred seventeen".