9820013320121 has 2 divisors, whose sum is σ = 9820013320122. Its totient is φ = 9820013320120.

The previous prime is 9820013320109. The next prime is 9820013320127. The reversal of 9820013320121 is 1210233100289.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6654955278400 + 3165058041721 = 2579720^2 + 1779061^2 .

It is an emirp because it is prime and its reverse (1210233100289) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9820013320121 - 2¹⁸ = 9820013057977 is a prime.

It is not a weakly prime, because it can be changed into another prime (9820013320127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4910006660060 + 4910006660061.

It is an arithmetic number, because the mean of its divisors is an integer number (4910006660061).

Almost surely, 2^{9820013320121} is an apocalyptic number.

It is an amenable number.

9820013320121 is a deficient number, since it is larger than the sum of its proper divisors (1).

9820013320121 is an equidigital number, since it uses as much as digits as its factorization.

9820013320121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 9820013320121 in words is "nine trillion, eight hundred twenty billion, thirteen million, three hundred twenty thousand, one hundred twenty-one".