100110100100117 has 2 divisors, whose sum is σ = 100110100100118. Its totient is φ = 100110100100116.

The previous prime is 100110100100089. The next prime is 100110100100119. The reversal of 100110100100117 is 711001001011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68222462376721 + 31887637723396 = 8259689^2 + 5646914^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110100100117 - 2⁸ = 100110100099861 is a prime.

Together with 100110100100119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110100100119) 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, 50055050050058 + 50055050050059.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050050059).

Almost surely, 2^{100110100100117} is an apocalyptic number.

It is an amenable number.

100110100100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100100117 is an equidigital number, since it uses as much as digits as its factorization.

100110100100117 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 100110100100117 its reverse (711001001011001), we get a palindrome (811111101111118).

The spelling of 100110100100117 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred thousand, one hundred seventeen".