20121121022209 has 2 divisors, whose sum is σ = 20121121022210. Its totient is φ = 20121121022208.

The previous prime is 20121121022203. The next prime is 20121121022237. The reversal of 20121121022209 is 90222012112102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12681575654400 + 7439545367809 = 3561120^2 + 2727553^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121121022209 - 2²⁵ = 20121087467777 is a prime.

It is a super-2 number, since 2×20121121022209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20121121022203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060560511104 + 10060560511105.

It is an arithmetic number, because the mean of its divisors is an integer number (10060560511105).

Almost surely, 2^{20121121022209} is an apocalyptic number.

It is an amenable number.

20121121022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121121022209 is an equidigital number, since it uses as much as digits as its factorization.

20121121022209 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 25.

The spelling of 20121121022209 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, two hundred nine".