20320121010193 has 2 divisors, whose sum is σ = 20320121010194. Its totient is φ = 20320121010192.

The previous prime is 20320121010191. The next prime is 20320121010227. The reversal of 20320121010193 is 39101012102302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17464943675664 + 2855177334529 = 4179108^2 + 1689727^2 .

It is a cyclic number.

It is not a de Polignac number, because 20320121010193 - 2¹ = 20320121010191 is a prime.

Together with 20320121010191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20320121010191) 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, 10160060505096 + 10160060505097.

It is an arithmetic number, because the mean of its divisors is an integer number (10160060505097).

Almost surely, 2^{20320121010193} is an apocalyptic number.

It is an amenable number.

20320121010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20320121010193 is an equidigital number, since it uses as much as digits as its factorization.

20320121010193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 20320121010193 its reverse (39101012102302), we get a palindrome (59421133112495).

The spelling of 20320121010193 in words is "twenty trillion, three hundred twenty billion, one hundred twenty-one million, ten thousand, one hundred ninety-three".