100100110111117 has 2 divisors, whose sum is σ = 100100110111118. Its totient is φ = 100100110111116.

The previous prime is 100100110110991. The next prime is 100100110111223. The reversal of 100100110111117 is 711111011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100055887806436 + 44222304681 = 10002794^2 + 210291^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110111117 - 2⁷ = 100100110110989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100110111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110111517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055055558 + 50050055055559.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055055559).

Almost surely, 2^{100100110111117} is an apocalyptic number.

It is an amenable number.

100100110111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110111117 is an equidigital number, since it uses as much as digits as its factorization.

100100110111117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 100100110111117 its reverse (711111011001001), we get a palindrome (811211121112118).

The spelling of 100100110111117 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred seventeen".