10221211120 has 160 divisors (see below), whose sum is σ = 25860487680. Its totient is φ = 3744599040.

The previous prime is 10221211081. The next prime is 10221211129. The reversal of 10221211120 is 2111212201.

10221211120 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 2×10221211120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221211129) 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 31 ways as a sum of consecutive naturals, for example, 5718867 + ... + 5720653.

It is an arithmetic number, because the mean of its divisors is an integer number (161628048).

Almost surely, 2^10221211120 is an apocalyptic number.

10221211120 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 10221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930243840).

10221211120 is an abundant number, since it is smaller than the sum of its proper divisors (15639276560).

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

10221211120 is a wasteful number, since it uses less digits than its factorization.

10221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221211120 its reverse (2111212201), we get a palindrome (12332423321).

The spelling of 10221211120 in words is "ten billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".