20101112117 has 2 divisors, whose sum is σ = 20101112118. Its totient is φ = 20101112116.

The previous prime is 20101112099. The next prime is 20101112123. The reversal of 20101112117 is 71121110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10877238436 + 9223873681 = 104294^2 + 96041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101112095 and 20101112104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101112197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050556058 + 10050556059.

It is an arithmetic number, because the mean of its divisors is an integer number (10050556059).

Almost surely, 2^20101112117 is an apocalyptic number.

It is an amenable number.

20101112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101112117 is an equidigital number, since it uses as much as digits as its factorization.

20101112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 20101112117 its reverse (71121110102), we get a palindrome (91222222219).

The spelling of 20101112117 in words is "twenty billion, one hundred one million, one hundred twelve thousand, one hundred seventeen".