10240221000 has 512 divisors, whose sum is σ = 35906457600. Its totient is φ = 2417817600.

The previous prime is 10240220999. The next prime is 10240221011. The reversal of 10240221000 is 12204201.

10240221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10240221000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 95702947 + ... + 95703053.

It is an arithmetic number, because the mean of its divisors is an integer number (70129800).

Almost surely, 2^10240221000 is an apocalyptic number.

10240221000 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 10240221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953228800).

10240221000 is an abundant number, since it is smaller than the sum of its proper divisors (25666236600).

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

10240221000 is a wasteful number, since it uses less digits than its factorization.

10240221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10240221000 its reverse (12204201), we get a palindrome (10252425201).

The spelling of 10240221000 in words is "ten billion, two hundred forty million, two hundred twenty-one thousand".