10112110211113 has 2 divisors, whose sum is σ = 10112110211114. Its totient is φ = 10112110211112.

The previous prime is 10112110211029. The next prime is 10112110211171. The reversal of 10112110211113 is 31111201121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6874658509849 + 3237451701264 = 2621957^2 + 1799292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112110211113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112110211173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056055105556 + 5056055105557.

It is an arithmetic number, because the mean of its divisors is an integer number (5056055105557).

Almost surely, 2^{10112110211113} is an apocalyptic number.

It is an amenable number.

10112110211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112110211113 is an equidigital number, since it uses as much as digits as its factorization.

10112110211113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 10112110211113 its reverse (31111201121101), we get a palindrome (41223311332214).

The spelling of 10112110211113 in words is "ten trillion, one hundred twelve billion, one hundred ten million, two hundred eleven thousand, one hundred thirteen".