112011101100113 has 2 divisors, whose sum is σ = 112011101100114. Its totient is φ = 112011101100112.

The previous prime is 112011101100103. The next prime is 112011101100139. The reversal of 112011101100113 is 311001101110211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89702265592384 + 22308835507729 = 9471128^2 + 4723223^2 .

It is a cyclic number.

It is not a de Polignac number, because 112011101100113 - 2¹⁸ = 112011100837969 is a prime.

It is a super-2 number, since 2×112011101100113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112011101100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005550550056 + 56005550550057.

It is an arithmetic number, because the mean of its divisors is an integer number (56005550550057).

Almost surely, 2^{112011101100113} is an apocalyptic number.

It is an amenable number.

112011101100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112011101100113 is an equidigital number, since it uses as much as digits as its factorization.

112011101100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 112011101100113 its reverse (311001101110211), we get a palindrome (423012202210324).

The spelling of 112011101100113 in words is "one hundred twelve trillion, eleven billion, one hundred one million, one hundred thousand, one hundred thirteen".