2101112113 has 4 divisors (see below), whose sum is σ = 2105792100. Its totient is φ = 2096432128.

The previous prime is 2101112099. The next prime is 2101112129. The reversal of 2101112113 is 3112111012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 577537024 + 1523575089 = 24032^2 + 39033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101112113 is a prime.

It is a super-2 number, since 2×2101112113² = 8829344222790649538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101112093 and 2101112102.

It is not an unprimeable number, because it can be changed into a prime (2101112173) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2339320 + ... + 2340217.

It is an arithmetic number, because the mean of its divisors is an integer number (526448025).

Almost surely, 2^2101112113 is an apocalyptic number.

It is an amenable number.

2101112113 is a deficient number, since it is larger than the sum of its proper divisors (4679987).

2101112113 is an equidigital number, since it uses as much as digits as its factorization.

2101112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679986.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2101112113 is about 45837.8894911186. The cubic root of 2101112113 is about 1280.8051804497.

Adding to 2101112113 its reverse (3112111012), we get a palindrome (5213223125).

It can be divided in two parts, 21011 and 12113, that added together give a square (33124 = 182²).

The spelling of 2101112113 in words is "two billion, one hundred one million, one hundred twelve thousand, one hundred thirteen".