122110221223313 has 2 divisors, whose sum is σ = 122110221223314. Its totient is φ = 122110221223312.

The previous prime is 122110221223247. The next prime is 122110221223369. The reversal of 122110221223313 is 313322122011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74281765603969 + 47828455619344 = 8618687^2 + 6915812^2 .

It is a cyclic number.

It is not a de Polignac number, because 122110221223313 - 2¹⁴ = 122110221206929 is a prime.

It is a super-2 number, since 2×122110221223313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122110221223813) 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, 61055110611656 + 61055110611657.

It is an arithmetic number, because the mean of its divisors is an integer number (61055110611657).

Almost surely, 2^{122110221223313} is an apocalyptic number.

It is an amenable number.

122110221223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110221223313 is an equidigital number, since it uses as much as digits as its factorization.

122110221223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122110221223313 its reverse (313322122011221), we get a palindrome (435432343234534).

The spelling of 122110221223313 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty-three thousand, three hundred thirteen".