2112112117 has 2 divisors, whose sum is σ = 2112112118. Its totient is φ = 2112112116.

The previous prime is 2112112097. The next prime is 2112112199. The reversal of 2112112117 is 7112112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1902180996 + 209931121 = 43614^2 + 14489^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112117 - 2²³ = 2103723509 is a prime.

It is a super-2 number, since 2×2112112117² = 8922035189556443378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112112094 and 2112112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112112217) 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, 1056056058 + 1056056059.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056059).

Almost surely, 2^2112112117 is an apocalyptic number.

It is an amenable number.

2112112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112117 is an equidigital number, since it uses as much as digits as its factorization.

2112112117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56, while the sum is 19.

The square root of 2112112117 is about 45957.7209726505. The cubic root of 2112112117 is about 1283.0364348243.

Adding to 2112112117 its reverse (7112112112), we get a palindrome (9224224229).

The spelling of 2112112117 in words is "two billion, one hundred twelve million, one hundred twelve thousand, one hundred seventeen".