10101111112117 has 2 divisors, whose sum is σ = 10101111112118. Its totient is φ = 10101111112116.

The previous prime is 10101111112093. The next prime is 10101111112129. The reversal of 10101111112117 is 71121111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9661709172241 + 439401939876 = 3108329^2 + 662874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101111112094 and 10101111112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111112717) 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, 5050555556058 + 5050555556059.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555556059).

Almost surely, 2^{10101111112117} is an apocalyptic number.

It is an amenable number.

10101111112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111112117 is an equidigital number, since it uses as much as digits as its factorization.

10101111112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 19.

Adding to 10101111112117 its reverse (71121111110101), we get a palindrome (81222222222218).

The spelling of 10101111112117 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred seventeen".