12200221102009 has 2 divisors, whose sum is σ = 12200221102010. Its totient is φ = 12200221102008.

The previous prime is 12200221101941. The next prime is 12200221102073. The reversal of 12200221102009 is 90020112200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6552207433984 + 5648013668025 = 2559728^2 + 2376555^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200221102009 - 2¹³ = 12200221093817 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200221102079) 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, 6100110551004 + 6100110551005.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110551005).

Almost surely, 2^{12200221102009} is an apocalyptic number.

It is an amenable number.

12200221102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221102009 is an equidigital number, since it uses as much as digits as its factorization.

12200221102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12200221102009 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred two thousand, nine".