10221220211121 has 40 divisors (see below), whose sum is σ = 16724376610920. Its totient is φ = 6192165837312.

The previous prime is 10221220211107. The next prime is 10221220211129. The reversal of 10221220211121 is 12111202212201.

10221220211121 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 211 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366643571121 + 9854576640000 = 605511^2 + 3139200^2 .

It is not a de Polignac number, because 10221220211121 - 2⁹ = 10221220210609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221220211094 and 10221220211103.

It is not an unprimeable number, because it can be changed into a prime (10221220211129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127939686 + ... + 128019551.

It is an arithmetic number, because the mean of its divisors is an integer number (418109415273).

Almost surely, 2^{10221220211121} is an apocalyptic number.

It is an amenable number.

10221220211121 is a deficient number, since it is larger than the sum of its proper divisors (6503156399799).

10221220211121 is a wasteful number, since it uses less digits than its factorization.

10221220211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255959295 (or 255959286 counting only the distinct ones).

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

Adding to 10221220211121 its reverse (12111202212201), we get a palindrome (22332422423322).

The spelling of 10221220211121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-one".