2100022222009 has 2 divisors, whose sum is σ = 2100022222010. Its totient is φ = 2100022222008.

The previous prime is 2100022221971. The next prime is 2100022222037. The reversal of 2100022222009 is 9002222200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1469300349609 + 630721872400 = 1212147^2 + 794180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100022222009 - 2³⁷ = 1962583268537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100022222079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050011111004 + 1050011111005.

It is an arithmetic number, because the mean of its divisors is an integer number (1050011111005).

Almost surely, 2^{2100022222009} is an apocalyptic number.

It is an amenable number.

2100022222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100022222009 is an equidigital number, since it uses as much as digits as its factorization.

2100022222009 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.

The spelling of 2100022222009 in words is "two trillion, one hundred billion, twenty-two million, two hundred twenty-two thousand, nine".