221012021120 has 128 divisors (see below), whose sum is σ = 576643315680. Its totient is φ = 80332595200.

The previous prime is 221012021117. The next prime is 221012021123. The reversal of 221012021120 is 21120210122.

221012021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221012021117) and next prime (221012021123).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221012021095 and 221012021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012021123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20135954 + ... + 20146926.

Almost surely, 2^221012021120 is an apocalyptic number.

221012021120 is a gapful number since it is divisible by the number (20) 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 221012021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288321657840).

221012021120 is an abundant number, since it is smaller than the sum of its proper divisors (355631294560).

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

221012021120 is a wasteful number, since it uses less digits than its factorization.

221012021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13852 counting only the distinct ones).

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

Adding to 221012021120 its reverse (21120210122), we get a palindrome (242132231242).

The spelling of 221012021120 in words is "two hundred twenty-one billion, twelve million, twenty-one thousand, one hundred twenty".