205124211001 has 2 divisors, whose sum is σ = 205124211002. Its totient is φ = 205124211000.

The previous prime is 205124210999. The next prime is 205124211029. The reversal of 205124211001 is 100112421502.

205124211001 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., 198692171001 + 6432040000 = 445749^2 + 80200^2 .

It is a cyclic number.

It is not a de Polignac number, because 205124211001 - 2¹ = 205124210999 is a prime.

Together with 205124210999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 205124211001.

It is not a weakly prime, because it can be changed into another prime (205124211031) 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, 102562105500 + 102562105501.

It is an arithmetic number, because the mean of its divisors is an integer number (102562105501).

Almost surely, 2^205124211001 is an apocalyptic number.

It is an amenable number.

205124211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

205124211001 is an equidigital number, since it uses as much as digits as its factorization.

205124211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 205124211001 its reverse (100112421502), we get a palindrome (305236632503).

The spelling of 205124211001 in words is "two hundred five billion, one hundred twenty-four million, two hundred eleven thousand, one".