10657645121 has 2 divisors, whose sum is σ = 10657645122. Its totient is φ = 10657645120.

The previous prime is 10657645027. The next prime is 10657645123. The reversal of 10657645121 is 12154675601.

10657645121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10538049025 + 119596096 = 102655^2 + 10936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10657645121 is a prime.

It is a super-2 number, since 2×10657645121² (a number of 21 digits) contains 22 as substring.

Together with 10657645123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10657645123) 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, 5328822560 + 5328822561.

It is an arithmetic number, because the mean of its divisors is an integer number (5328822561).

Almost surely, 2^10657645121 is an apocalyptic number.

It is an amenable number.

10657645121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10657645121 is an equidigital number, since it uses as much as digits as its factorization.

10657645121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 10657645121 in words is "ten billion, six hundred fifty-seven million, six hundred forty-five thousand, one hundred twenty-one".