122221101121013 has 2 divisors, whose sum is σ = 122221101121014. Its totient is φ = 122221101121012.

The previous prime is 122221101121003. The next prime is 122221101121043. The reversal of 122221101121013 is 310121101122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122205109748164 + 15991372849 = 11054642^2 + 126457^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221101121013 - 2¹⁶ = 122221101055477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221101121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110550560506 + 61110550560507.

It is an arithmetic number, because the mean of its divisors is an integer number (61110550560507).

Almost surely, 2^{122221101121013} is an apocalyptic number.

It is an amenable number.

122221101121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221101121013 is an equidigital number, since it uses as much as digits as its factorization.

122221101121013 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 20.

Adding to 122221101121013 its reverse (310121101122221), we get a palindrome (432342202243234).

The spelling of 122221101121013 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, thirteen".