10004221220 has 144 divisors (see below), whose sum is σ = 25793147520. Its totient is φ = 3243373056.

The previous prime is 10004221219. The next prime is 10004221229. The reversal of 10004221220 is 2212240001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10004221195 and 10004221204.

It is not an unprimeable number, because it can be changed into a prime (10004221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003567 + ... + 2008553.

It is an arithmetic number, because the mean of its divisors is an integer number (179119080).

Almost surely, 2^10004221220 is an apocalyptic number.

10004221220 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 10004221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896573760).

10004221220 is an abundant number, since it is smaller than the sum of its proper divisors (15788926300).

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

10004221220 is a wasteful number, since it uses less digits than its factorization.

10004221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10004221220 its reverse (2212240001), we get a palindrome (12216461221).

The spelling of 10004221220 in words is "ten billion, four million, two hundred twenty-one thousand, two hundred twenty".