101110010110117 has 2 divisors, whose sum is σ = 101110010110118. Its totient is φ = 101110010110116.

The previous prime is 101110010110099. The next prime is 101110010110121. The reversal of 101110010110117 is 711011010011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82188475797796 + 18921534312321 = 9065786^2 + 4349889^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110010110117 - 2³¹ = 101107862626469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110010110117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110010120117) 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, 50555005055058 + 50555005055059.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005055059).

Almost surely, 2^{101110010110117} is an apocalyptic number.

It is an amenable number.

101110010110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110010110117 is an equidigital number, since it uses as much as digits as its factorization.

101110010110117 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 101110010110117 its reverse (711011010011101), we get a palindrome (812121020121218).

The spelling of 101110010110117 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred ten thousand, one hundred seventeen".