2102012204009 has 2 divisors, whose sum is σ = 2102012204010. Its totient is φ = 2102012204008.

The previous prime is 2102012203961. The next prime is 2102012204027. The reversal of 2102012204009 is 9004022102012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1200646147600 + 901366056409 = 1095740^2 + 949403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102012204009 - 2³⁶ = 2033292727273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102012104009) 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, 1051006102004 + 1051006102005.

It is an arithmetic number, because the mean of its divisors is an integer number (1051006102005).

Almost surely, 2^{2102012204009} is an apocalyptic number.

It is an amenable number.

2102012204009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102012204009 is an equidigital number, since it uses as much as digits as its factorization.

2102012204009 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 23.

The spelling of 2102012204009 in words is "two trillion, one hundred two billion, twelve million, two hundred four thousand, nine".