12201021122121 has 12 divisors (see below), whose sum is σ = 18979366190148. Its totient is φ = 7508320690464.

The previous prime is 12201021122119. The next prime is 12201021122177. The reversal of 12201021122121 is 12122112010221.

12201021122121 is a `hidden beast` number, since 1 + 220 + 10 + 211 + 221 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5717784833721 + 6483236288400 = 2391189^2 + 2546220^2 .

It is not a de Polignac number, because 12201021122121 - 2¹ = 12201021122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201021122094 and 12201021122103.

It is not an unprimeable number, because it can be changed into a prime (12201021122021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52141115790 + ... + 52141116023.

It is an arithmetic number, because the mean of its divisors is an integer number (1581613849179).

Almost surely, 2^{12201021122121} is an apocalyptic number.

It is an amenable number.

12201021122121 is a deficient number, since it is larger than the sum of its proper divisors (6778345068027).

12201021122121 is a wasteful number, since it uses less digits than its factorization.

12201021122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104282231832 (or 104282231829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201021122121 its reverse (12122112010221), we get a palindrome (24323133132342).

The spelling of 12201021122121 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".