205212120193 has 2 divisors, whose sum is σ = 205212120194. Its totient is φ = 205212120192.

The previous prime is 205212120163. The next prime is 205212120251. The reversal of 205212120193 is 391021212502.

205212120193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113395848049 + 91816272144 = 336743^2 + 303012^2 .

It is a cyclic number.

It is not a de Polignac number, because 205212120193 - 2¹⁷ = 205211989121 is a prime.

It is a super-2 number, since 2×205212120193² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205212120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102606060096 + 102606060097.

It is an arithmetic number, because the mean of its divisors is an integer number (102606060097).

Almost surely, 2^205212120193 is an apocalyptic number.

It is an amenable number.

205212120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

205212120193 is an equidigital number, since it uses as much as digits as its factorization.

205212120193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 205212120193 its reverse (391021212502), we get a palindrome (596233332695).

The spelling of 205212120193 in words is "two hundred five billion, two hundred twelve million, one hundred twenty thousand, one hundred ninety-three".