10221133221 has 48 divisors (see below), whose sum is σ = 16187213952. Its totient is φ = 6176476800.

The previous prime is 10221133217. The next prime is 10221133229. The reversal of 10221133221 is 12233112201.

10221133221 is a `hidden beast` number, since 102 + 211 + 332 + 21 = 666.

It is not a de Polignac number, because 10221133221 - 2² = 10221133217 is a prime.

It is a super-3 number, since 3×10221133221³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221133194 and 10221133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221133229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8356816 + ... + 8358038.

It is an arithmetic number, because the mean of its divisors is an integer number (337233624).

Almost surely, 2^10221133221 is an apocalyptic number.

It is an amenable number.

10221133221 is a deficient number, since it is larger than the sum of its proper divisors (5966080731).

10221133221 is a wasteful number, since it uses less digits than its factorization.

10221133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221133221 its reverse (12233112201), we get a palindrome (22454245422).

The spelling of 10221133221 in words is "ten billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty-one".