20003122321121 has 2 divisors, whose sum is σ = 20003122321122. Its totient is φ = 20003122321120.

The previous prime is 20003122321093. The next prime is 20003122321153. The reversal of 20003122321121 is 12112322130002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16609789911121 + 3393332410000 = 4075511^2 + 1842100^2 .

It is a cyclic number.

It is not a de Polignac number, because 20003122321121 - 2¹⁸ = 20003122058977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20003122321093 and 20003122321102.

It is not a weakly prime, because it can be changed into another prime (20003122324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001561160560 + 10001561160561.

It is an arithmetic number, because the mean of its divisors is an integer number (10001561160561).

Almost surely, 2^{20003122321121} is an apocalyptic number.

It is an amenable number.

20003122321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20003122321121 is an equidigital number, since it uses as much as digits as its factorization.

20003122321121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20003122321121 its reverse (12112322130002), we get a palindrome (32115444451123).

The spelling of 20003122321121 in words is "twenty trillion, three billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-one".