205055245121101 has 2 divisors, whose sum is σ = 205055245121102. Its totient is φ = 205055245121100.

The previous prime is 205055245121087. The next prime is 205055245121179. The reversal of 205055245121101 is 101121542550502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204832342161225 + 222902959876 = 14311965^2 + 472126^2 .

It is a cyclic number.

It is not a de Polignac number, because 205055245121101 - 2¹³ = 205055245112909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205055245121501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102527622560550 + 102527622560551.

It is an arithmetic number, because the mean of its divisors is an integer number (102527622560551).

Almost surely, 2^{205055245121101} is an apocalyptic number.

It is an amenable number.

205055245121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

205055245121101 is an equidigital number, since it uses as much as digits as its factorization.

205055245121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20000, while the sum is 34.

Adding to 205055245121101 its reverse (101121542550502), we get a palindrome (306176787671603).

The spelling of 205055245121101 in words is "two hundred five trillion, fifty-five billion, two hundred forty-five million, one hundred twenty-one thousand, one hundred one".