2671688895121 has 2 divisors, whose sum is σ = 2671688895122. Its totient is φ = 2671688895120.

The previous prime is 2671688895107. The next prime is 2671688895191. The reversal of 2671688895121 is 1215988861762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2667224650896 + 4464244225 = 1633164^2 + 66815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2671688895121 - 2¹⁷ = 2671688764049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2671688895191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1335844447560 + 1335844447561.

It is an arithmetic number, because the mean of its divisors is an integer number (1335844447561).

Almost surely, 2^{2671688895121} is an apocalyptic number.

It is an amenable number.

2671688895121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2671688895121 is an equidigital number, since it uses as much as digits as its factorization.

2671688895121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23224320, while the sum is 64.

The spelling of 2671688895121 in words is "two trillion, six hundred seventy-one billion, six hundred eighty-eight million, eight hundred ninety-five thousand, one hundred twenty-one".