10206165121 has 2 divisors, whose sum is σ = 10206165122. Its totient is φ = 10206165120.

The previous prime is 10206165119. The next prime is 10206165131. The reversal of 10206165121 is 12156160201.

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., 6307536400 + 3898628721 = 79420^2 + 62439^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206165121 - 2¹ = 10206165119 is a prime.

Together with 10206165119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10206165131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103082560 + 5103082561.

It is an arithmetic number, because the mean of its divisors is an integer number (5103082561).

Almost surely, 2^10206165121 is an apocalyptic number.

It is an amenable number.

10206165121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206165121 is an equidigital number, since it uses as much as digits as its factorization.

10206165121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10206165121 in words is "ten billion, two hundred six million, one hundred sixty-five thousand, one hundred twenty-one".