10221301224 has 96 divisors (see below), whose sum is σ = 28733796000. Its totient is φ = 3404037312.

The previous prime is 10221301201. The next prime is 10221301229. The reversal of 10221301224 is 42210312201.

It is a happy number.

10221301224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10221301197 and 10221301206.

It is not an unprimeable number, because it can be changed into a prime (10221301229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3476347 + ... + 3479285.

It is an arithmetic number, because the mean of its divisors is an integer number (299310375).

Almost surely, 2^10221301224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221301224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366898000).

10221301224 is an abundant number, since it is smaller than the sum of its proper divisors (18512494776).

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

10221301224 is a wasteful number, since it uses less digits than its factorization.

10221301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221301224 its reverse (42210312201), we get a palindrome (52431613425).

The spelling of 10221301224 in words is "ten billion, two hundred twenty-one million, three hundred one thousand, two hundred twenty-four".