2122131001 has 2 divisors, whose sum is σ = 2122131002. Its totient is φ = 2122131000.

The previous prime is 2122130993. The next prime is 2122131007. The reversal of 2122131001 is 1001312212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2092971001 + 29160000 = 45749^2 + 5400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122131001 - 2³ = 2122130993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122131007) 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, 1061065500 + 1061065501.

It is an arithmetic number, because the mean of its divisors is an integer number (1061065501).

Almost surely, 2^2122131001 is an apocalyptic number.

It is an amenable number.

2122131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122131001 is an equidigital number, since it uses as much as digits as its factorization.

2122131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2122131001 is about 46066.5931125800. The cubic root of 2122131001 is about 1285.0619461727.

Adding to 2122131001 its reverse (1001312212), we get a palindrome (3123443213).

The spelling of 2122131001 in words is "two billion, one hundred twenty-two million, one hundred thirty-one thousand, one".