10221200120 has 128 divisors (see below), whose sum is σ = 24039936000. Its totient is φ = 3908736000.

The previous prime is 10221200113. The next prime is 10221200131. The reversal of 10221200120 is 2100212201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13609745 + ... + 13610495.

It is an arithmetic number, because the mean of its divisors is an integer number (187812000).

Almost surely, 2^10221200120 is an apocalyptic number.

10221200120 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 10221200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019968000).

10221200120 is an abundant number, since it is smaller than the sum of its proper divisors (13818735880).

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

10221200120 is a wasteful number, since it uses less digits than its factorization.

10221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

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

Adding to 10221200120 its reverse (2100212201), we get a palindrome (12321412321).

The spelling of 10221200120 in words is "ten billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".