122322211011001 has 2 divisors, whose sum is σ = 122322211011002. Its totient is φ = 122322211011000.

The previous prime is 122322211010933. The next prime is 122322211011061. The reversal of 122322211011001 is 100110112223221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110167086594601 + 12155124416400 = 10496051^2 + 3486420^2 .

It is an emirp because it is prime and its reverse (100110112223221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122322211011001 - 2²⁹ = 122321674140089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122322211011001.

It is not a weakly prime, because it can be changed into another prime (122322211011061) 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, 61161105505500 + 61161105505501.

It is an arithmetic number, because the mean of its divisors is an integer number (61161105505501).

Almost surely, 2^{122322211011001} is an apocalyptic number.

It is an amenable number.

122322211011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122322211011001 is an equidigital number, since it uses as much as digits as its factorization.

122322211011001 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 19.

Adding to 122322211011001 its reverse (100110112223221), we get a palindrome (222432323234222).

The spelling of 122322211011001 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred eleven million, eleven thousand, one".