10121220211221 has 40 divisors (see below), whose sum is σ = 17280569620160. Its totient is φ = 5783116502592.

The previous prime is 10121220211199. The next prime is 10121220211247. The reversal of 10121220211221 is 12211202212101.

10121220211221 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 20 + 211 + 221 = 666.

It is not a de Polignac number, because 10121220211221 - 2²² = 10121216016917 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121220211194 and 10121220211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121220211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6894105 + ... + 8232321.

It is an arithmetic number, because the mean of its divisors is an integer number (432014240504).

Almost surely, 2^{10121220211221} is an apocalyptic number.

It is an amenable number.

10121220211221 is a deficient number, since it is larger than the sum of its proper divisors (7159349408939).

10121220211221 is a wasteful number, since it uses less digits than its factorization.

10121220211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351575 (or 1351566 counting only the distinct ones).

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

Adding to 10121220211221 its reverse (12211202212101), we get a palindrome (22332422423322).

The spelling of 10121220211221 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-one".