10020221120 has 224 divisors, whose sum is σ = 29853672576. Its totient is φ = 3118694400.

The previous prime is 10020221077. The next prime is 10020221177. The reversal of 10020221120 is 2112202001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773500 + ... + 1779140.

It is an arithmetic number, because the mean of its divisors is an integer number (133275324).

Almost surely, 2^10020221120 is an apocalyptic number.

10020221120 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 10020221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926836288).

10020221120 is an abundant number, since it is smaller than the sum of its proper divisors (19833451456).

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

10020221120 is a wasteful number, since it uses less digits than its factorization.

10020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020221120 its reverse (2112202001), we get a palindrome (12132423121).

The spelling of 10020221120 in words is "ten billion, twenty million, two hundred twenty-one thousand, one hundred twenty".