205344445121 has 2 divisors, whose sum is σ = 205344445122. Its totient is φ = 205344445120.

The previous prime is 205344445081. The next prime is 205344445123. The reversal of 205344445121 is 121544443502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181493040400 + 23851404721 = 426020^2 + 154439^2 .

It is a cyclic number.

It is not a de Polignac number, because 205344445121 - 2³⁰ = 204270703297 is a prime.

It is a super-2 number, since 2×205344445121² (a number of 23 digits) contains 22 as substring.

Together with 205344445123, 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 (205344445123) 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, 102672222560 + 102672222561.

It is an arithmetic number, because the mean of its divisors is an integer number (102672222561).

Almost surely, 2^205344445121 is an apocalyptic number.

It is an amenable number.

205344445121 is a deficient number, since it is larger than the sum of its proper divisors (1).

205344445121 is an equidigital number, since it uses as much as digits as its factorization.

205344445121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 205344445121 its reverse (121544443502), we get a palindrome (326888888623).

The spelling of 205344445121 in words is "two hundred five billion, three hundred forty-four million, four hundred forty-five thousand, one hundred twenty-one".