122010220102013 has 2 divisors, whose sum is σ = 122010220102014. Its totient is φ = 122010220102012.

The previous prime is 122010220101997. The next prime is 122010220102163. The reversal of 122010220102013 is 310201022010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121910791507684 + 99428594329 = 11041322^2 + 315323^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010220102013 - 2⁴ = 122010220101997 is a prime.

It is a super-2 number, since 2×122010220102013² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122010220101982 and 122010220102000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122010220102213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005110051006 + 61005110051007.

It is an arithmetic number, because the mean of its divisors is an integer number (61005110051007).

Almost surely, 2^{122010220102013} is an apocalyptic number.

It is an amenable number.

122010220102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010220102013 is an equidigital number, since it uses as much as digits as its factorization.

122010220102013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122010220102013 its reverse (310201022010221), we get a palindrome (432211242112234).

The spelling of 122010220102013 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty million, one hundred two thousand, thirteen".