20121221120121 has 24 divisors (see below), whose sum is σ = 31714052385600. Its totient is φ = 12191646477600.

The previous prime is 20121221120111. The next prime is 20121221120149. The reversal of 20121221120121 is 12102112212102.

20121221120121 is a `hidden beast` number, since 20 + 1 + 212 + 211 + 201 + 21 = 666.

It is not a de Polignac number, because 20121221120121 - 2¹⁸ = 20121220857977 is a prime.

It is a super-2 number, since 2×20121221120121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121221120094 and 20121221120103.

It is not an unprimeable number, because it can be changed into a prime (20121221120111) 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, 24874821 + ... + 25670978.

It is an arithmetic number, because the mean of its divisors is an integer number (1321418849400).

Almost surely, 2^{20121221120121} is an apocalyptic number.

It is an amenable number.

20121221120121 is a deficient number, since it is larger than the sum of its proper divisors (11592831265479).

20121221120121 is a wasteful number, since it uses less digits than its factorization.

20121221120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50549837 (or 50549834 counting only the distinct ones).

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

Adding to 20121221120121 its reverse (12102112212102), we get a palindrome (32223333332223).

The spelling of 20121221120121 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".