2112256688561 has 2 divisors, whose sum is σ = 2112256688562. Its totient is φ = 2112256688560.

The previous prime is 2112256688513. The next prime is 2112256688617. The reversal of 2112256688561 is 1658866522112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1771877792161 + 340378896400 = 1331119^2 + 583420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112256688561 - 2¹⁰ = 2112256687537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112256688501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056128344280 + 1056128344281.

It is an arithmetic number, because the mean of its divisors is an integer number (1056128344281).

Almost surely, 2^{2112256688561} is an apocalyptic number.

It is an amenable number.

2112256688561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112256688561 is an equidigital number, since it uses as much as digits as its factorization.

2112256688561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2764800, while the sum is 53.

The spelling of 2112256688561 in words is "two trillion, one hundred twelve billion, two hundred fifty-six million, six hundred eighty-eight thousand, five hundred sixty-one".