2122331011001 has 2 divisors, whose sum is σ = 2122331011002. Its totient is φ = 2122331011000.

The previous prime is 2122331010991. The next prime is 2122331011051. The reversal of 2122331011001 is 1001101332212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1987183605625 + 135147405376 = 1409675^2 + 367624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122331011001 - 2⁶ = 2122331010937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122331011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061165505500 + 1061165505501.

It is an arithmetic number, because the mean of its divisors is an integer number (1061165505501).

Almost surely, 2^{2122331011001} is an apocalyptic number.

It is an amenable number.

2122331011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122331011001 is an equidigital number, since it uses as much as digits as its factorization.

2122331011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2122331011001 its reverse (1001101332212), we get a palindrome (3123432343213).

The spelling of 2122331011001 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-one million, eleven thousand, one".