2112113909 has 2 divisors, whose sum is σ = 2112113910. Its totient is φ = 2112113908.

The previous prime is 2112113873. The next prime is 2112113911. The reversal of 2112113909 is 9093112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2081366884 + 30747025 = 45622^2 + 5545^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112113909 - 2²⁸ = 1843678453 is a prime.

It is a super-2 number, since 2×2112113909² = 8922050329182520562, which contains 22 as substring.

Together with 2112113911, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112113009) 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, 1056056954 + 1056056955.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056955).

Almost surely, 2^2112113909 is an apocalyptic number.

It is an amenable number.

2112113909 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112113909 is an equidigital number, since it uses as much as digits as its factorization.

2112113909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 2112113909 is about 45957.7404688264. The cubic root of 2112113909 is about 1283.0367976839.

The spelling of 2112113909 in words is "two billion, one hundred twelve million, one hundred thirteen thousand, nine hundred nine".