2112781671677 has 2 divisors, whose sum is σ = 2112781671678. Its totient is φ = 2112781671676.

The previous prime is 2112781671661. The next prime is 2112781671743. The reversal of 2112781671677 is 7761761872112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1132630191001 + 980151480676 = 1064251^2 + 990026^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112781671677 - 2⁴ = 2112781671661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112781601677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056390835838 + 1056390835839.

It is an arithmetic number, because the mean of its divisors is an integer number (1056390835839).

Almost surely, 2^{2112781671677} is an apocalyptic number.

It is an amenable number.

2112781671677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112781671677 is an equidigital number, since it uses as much as digits as its factorization.

2112781671677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2765952, while the sum is 56.

The spelling of 2112781671677 in words is "two trillion, one hundred twelve billion, seven hundred eighty-one million, six hundred seventy-one thousand, six hundred seventy-seven".