10221121220 has 24 divisors (see below), whose sum is σ = 21676877208. Its totient is φ = 4047968000.

The previous prime is 10221121217. The next prime is 10221121241. The reversal of 10221121220 is 2212112201.

10221121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5233654336 + 4987466884 = 72344^2 + 70622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221121195 and 10221121204.

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 7 ways as a sum of consecutive naturals, for example, 2527961 + ... + 2532000.

It is an arithmetic number, because the mean of its divisors is an integer number (903203217).

Almost surely, 2^10221121220 is an apocalyptic number.

10221121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121220 is an abundant number, since it is smaller than the sum of its proper divisors (11455755988).

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

10221121220 is a wasteful number, since it uses less digits than its factorization.

10221121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060071 (or 5060069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221121220 its reverse (2212112201), we get a palindrome (12433233421).

The spelling of 10221121220 in words is "ten billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".