12221102120221 has 24 divisors (see below), whose sum is σ = 13228169546664. Its totient is φ = 11284386447360.

The previous prime is 12221102120173. The next prime is 12221102120317. The reversal of 12221102120221 is 12202120112221.

It can be written as a sum of positive squares in 12 ways, for example, as 850812536025 + 11370289584196 = 922395^2 + 3371986^2 .

It is not a de Polignac number, because 12221102120221 - 2³¹ = 12218954636573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221102120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385252641 + ... + 385284361.

It is an arithmetic number, because the mean of its divisors is an integer number (551173731111).

Almost surely, 2^{12221102120221} is an apocalyptic number.

It is an amenable number.

12221102120221 is a deficient number, since it is larger than the sum of its proper divisors (1007067426443).

12221102120221 is a wasteful number, since it uses less digits than its factorization.

12221102120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56961 (or 56944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221102120221 its reverse (12202120112221), we get a palindrome (24423222232442).

The spelling of 12221102120221 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty thousand, two hundred twenty-one".