22122331212001 has 2 divisors, whose sum is σ = 22122331212002. Its totient is φ = 22122331212000.

The previous prime is 22122331211983. The next prime is 22122331212011. The reversal of 22122331212001 is 10021213322122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20979193893025 + 1143137318976 = 4580305^2 + 1069176^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122331212001 - 2¹³ = 22122331203809 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122331212011) 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, 11061165606000 + 11061165606001.

It is an arithmetic number, because the mean of its divisors is an integer number (11061165606001).

Almost surely, 2^{22122331212001} is an apocalyptic number.

It is an amenable number.

22122331212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122331212001 is an equidigital number, since it uses as much as digits as its factorization.

22122331212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22122331212001 its reverse (10021213322122), we get a palindrome (32143544534123).

The spelling of 22122331212001 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred twelve thousand, one".