10100011111117 has 2 divisors, whose sum is σ = 10100011111118. Its totient is φ = 10100011111116.

The previous prime is 10100011111109. The next prime is 10100011111159. The reversal of 10100011111117 is 71111111000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6516690833961 + 3583320277156 = 2552781^2 + 1892966^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011111117 - 2³ = 10100011111109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100011111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011811117) 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, 5050005555558 + 5050005555559.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005555559).

Almost surely, 2^{10100011111117} is an apocalyptic number.

It is an amenable number.

10100011111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011111117 is an equidigital number, since it uses as much as digits as its factorization.

10100011111117 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 10100011111117 its reverse (71111111000101), we get a palindrome (81211122111218).

The spelling of 10100011111117 in words is "ten trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred seventeen".