10100111101117 has 2 divisors, whose sum is σ = 10100111101118. Its totient is φ = 10100111101116.

The previous prime is 10100111101061. The next prime is 10100111101133. The reversal of 10100111101117 is 71110111100101.

It is an a-pointer prime, because the next prime (10100111101133) can be obtained adding 10100111101117 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9685875981796 + 414235119321 = 3112214^2 + 643611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100111101117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100111101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111102117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055550558 + 5050055550559.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055550559).

Almost surely, 2^{10100111101117} is an apocalyptic number.

It is an amenable number.

10100111101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111101117 is an equidigital number, since it uses as much as digits as its factorization.

10100111101117 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 10100111101117 its reverse (71110111100101), we get a palindrome (81210222201218).

The spelling of 10100111101117 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred seventeen".