10221331120 has 320 divisors, whose sum is σ = 32227937280. Its totient is φ = 2911334400.

The previous prime is 10221331091. The next prime is 10221331121. The reversal of 10221331120 is 2113312201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221331094 and 10221331103.

It is not an unprimeable number, because it can be changed into a prime (10221331121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8728135 + ... + 8729305.

It is an arithmetic number, because the mean of its divisors is an integer number (100712304).

Almost surely, 2^10221331120 is an apocalyptic number.

10221331120 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 10221331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113968640).

10221331120 is an abundant number, since it is smaller than the sum of its proper divisors (22006606160).

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

10221331120 is a wasteful number, since it uses less digits than its factorization.

10221331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10221331120 its reverse (2113312201), we get a palindrome (12334643321).

The spelling of 10221331120 in words is "ten billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".