2112013117 has 2 divisors, whose sum is σ = 2112013118. Its totient is φ = 2112013116.

The previous prime is 2112013093. The next prime is 2112013133. The reversal of 2112013117 is 7113102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1860283161 + 251729956 = 43131^2 + 15866^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112013117 - 2⁷ = 2112012989 is a prime.

It is a super-3 number, since 3×2112013117³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112013094 and 2112013103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112013417) 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, 1056006558 + 1056006559.

It is an arithmetic number, because the mean of its divisors is an integer number (1056006559).

Almost surely, 2^2112013117 is an apocalyptic number.

It is an amenable number.

2112013117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112013117 is an equidigital number, since it uses as much as digits as its factorization.

2112013117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 2112013117 is about 45956.6438831210. The cubic root of 2112013117 is about 1283.0163881310.

Adding to 2112013117 its reverse (7113102112), we get a palindrome (9225115229).

The spelling of 2112013117 in words is "two billion, one hundred twelve million, thirteen thousand, one hundred seventeen".