205355103001 has 2 divisors, whose sum is σ = 205355103002. Its totient is φ = 205355103000.

The previous prime is 205355102987. The next prime is 205355103011. The reversal of 205355103001 is 100301553502.

205355103001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190846659600 + 14508443401 = 436860^2 + 120451^2 .

It is a cyclic number.

It is not a de Polignac number, because 205355103001 - 2⁹ = 205355102489 is a prime.

It is not a weakly prime, because it can be changed into another prime (205355103011) 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, 102677551500 + 102677551501.

It is an arithmetic number, because the mean of its divisors is an integer number (102677551501).

Almost surely, 2^205355103001 is an apocalyptic number.

It is an amenable number.

205355103001 is a deficient number, since it is larger than the sum of its proper divisors (1).

205355103001 is an equidigital number, since it uses as much as digits as its factorization.

205355103001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 205355103001 its reverse (100301553502), we get a palindrome (305656656503).

The spelling of 205355103001 in words is "two hundred five billion, three hundred fifty-five million, one hundred three thousand, one".