2112256688617 has 2 divisors, whose sum is σ = 2112256688618. Its totient is φ = 2112256688616.

The previous prime is 2112256688561. The next prime is 2112256688651. The reversal of 2112256688617 is 7168866522112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107319658921 + 4937029696 = 1451661^2 + 70264^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112256688617 - 2⁷ = 2112256688489 is a prime.

It is a super-3 number, since 3×2112256688617³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2112257688617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056128344308 + 1056128344309.

It is an arithmetic number, because the mean of its divisors is an integer number (1056128344309).

Almost surely, 2^{2112256688617} is an apocalyptic number.

It is an amenable number.

2112256688617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112256688617 is an equidigital number, since it uses as much as digits as its factorization.

2112256688617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3870720, while the sum is 55.

The spelling of 2112256688617 in words is "two trillion, one hundred twelve billion, two hundred fifty-six million, six hundred eighty-eight thousand, six hundred seventeen".