12201020212221 has 24 divisors (see below), whose sum is σ = 18100762342104. Its totient is φ = 7913847173760.

The previous prime is 12201020212189. The next prime is 12201020212223. The reversal of 12201020212221 is 12221202010221.

It is a happy number.

12201020212221 is a `hidden beast` number, since 1 + 220 + 10 + 2 + 0 + 212 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4975063335225 + 7225956876996 = 2230485^2 + 2688114^2 .

It is not a de Polignac number, because 12201020212221 - 2⁵ = 12201020212189 is a prime.

It is a super-5 number, since 5×12201020212221⁵ (a number of 67 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201020212194 and 12201020212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201020212223) 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, 7416931 + ... + 8911391.

It is an arithmetic number, because the mean of its divisors is an integer number (754198430921).

Almost surely, 2^{12201020212221} is an apocalyptic number.

It is an amenable number.

12201020212221 is a deficient number, since it is larger than the sum of its proper divisors (5899742129883).

12201020212221 is a wasteful number, since it uses less digits than its factorization.

12201020212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519021 (or 1519018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201020212221 its reverse (12221202010221), we get a palindrome (24422222222442).

The spelling of 12201020212221 in words is "twelve trillion, two hundred one billion, twenty million, two hundred twelve thousand, two hundred twenty-one".