2121311000009 has 2 divisors, whose sum is σ = 2121311000010. Its totient is φ = 2121311000008.

The previous prime is 2121310999991. The next prime is 2121311000023. The reversal of 2121311000009 is 9000001131212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1763509632784 + 357801367225 = 1327972^2 + 598165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121311000009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121311000089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060655500004 + 1060655500005.

It is an arithmetic number, because the mean of its divisors is an integer number (1060655500005).

Almost surely, 2^{2121311000009} is an apocalyptic number.

It is an amenable number.

2121311000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121311000009 is an equidigital number, since it uses as much as digits as its factorization.

2121311000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 2121311000009 in words is "two trillion, one hundred twenty-one billion, three hundred eleven million, nine", and thus it is an aban number.