10221220211120 has 80 divisors (see below), whose sum is σ = 25022779392000. Its totient is φ = 3872114129664.

The previous prime is 10221220211107. The next prime is 10221220211129. The reversal of 10221220211120 is 2111202212201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10221220211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922001 + ... + 5985359.

It is an arithmetic number, because the mean of its divisors is an integer number (312784742400).

Almost surely, 2^{10221220211120} is an apocalyptic number.

10221220211120 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 10221220211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511389696000).

10221220211120 is an abundant number, since it is smaller than the sum of its proper divisors (14801559180880).

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

10221220211120 is a wasteful number, since it uses less digits than its factorization.

10221220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066650 (or 2066644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221220211120 its reverse (2111202212201), we get a palindrome (12332422423321).

The spelling of 10221220211120 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".