2002112200009 has 2 divisors, whose sum is σ = 2002112200010. Its totient is φ = 2002112200008.

The previous prime is 2002112200003. The next prime is 2002112200013. The reversal of 2002112200009 is 9000022112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1502715577609 + 499396622400 = 1225853^2 + 706680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112200009 - 2¹⁵ = 2002112167241 is a prime.

It is a super-2 number, since 2×2002112200009² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002112200003) 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, 1001056100004 + 1001056100005.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056100005).

Almost surely, 2^{2002112200009} is an apocalyptic number.

It is an amenable number.

2002112200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112200009 is an equidigital number, since it uses as much as digits as its factorization.

2002112200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 2002112200009 in words is "two trillion, two billion, one hundred twelve million, two hundred thousand, nine".