10512688572121 has 2 divisors, whose sum is σ = 10512688572122. Its totient is φ = 10512688572120.

The previous prime is 10512688572119. The next prime is 10512688572149. The reversal of 10512688572121 is 12127588621501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5754025550025 + 4758663022096 = 2398755^2 + 2181436^2 .

It is a cyclic number.

It is not a de Polignac number, because 10512688572121 - 2¹ = 10512688572119 is a prime.

It is a super-2 number, since 2×10512688572121² (a number of 27 digits) contains 22 as substring.

Together with 10512688572119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10512688572821) 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, 5256344286060 + 5256344286061.

It is an arithmetic number, because the mean of its divisors is an integer number (5256344286061).

Almost surely, 2^{10512688572121} is an apocalyptic number.

It is an amenable number.

10512688572121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10512688572121 is an equidigital number, since it uses as much as digits as its factorization.

10512688572121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 49.

The spelling of 10512688572121 in words is "ten trillion, five hundred twelve billion, six hundred eighty-eight million, five hundred seventy-two thousand, one hundred twenty-one".