10221323220 has 288 divisors, whose sum is σ = 33361735680. Its totient is φ = 2525644800.

The previous prime is 10221323207. The next prime is 10221323227. The reversal of 10221323220 is 2232312201.

10221323220 is a `hidden beast` number, since 102 + 21 + 323 + 220 = 666.

It is a super-2 number, since 2×10221323220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221323193 and 10221323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221323227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43868224 + ... + 43868456.

It is an arithmetic number, because the mean of its divisors is an integer number (115839360).

Almost surely, 2^10221323220 is an apocalyptic number.

10221323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680867840).

10221323220 is an abundant number, since it is smaller than the sum of its proper divisors (23140412460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221323220 is a wasteful number, since it uses less digits than its factorization.

10221323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10221323220 its reverse (2232312201), we get a palindrome (12453635421).

The spelling of 10221323220 in words is "ten billion, two hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty".