220221101201120 has 96 divisors (see below), whose sum is σ = 528102158040576. Its totient is φ = 86765120064000.

The previous prime is 220221101201039. The next prime is 220221101201141. The reversal of 220221101201120 is 21102101122022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716877 + ... + 21161843.

It is an arithmetic number, because the mean of its divisors is an integer number (5501064146256).

Almost surely, 2^{220221101201120} is an apocalyptic number.

220221101201120 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 220221101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264051079020288).

220221101201120 is an abundant number, since it is smaller than the sum of its proper divisors (307881056839456).

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

220221101201120 is a wasteful number, since it uses less digits than its factorization.

220221101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18446104 (or 18446096 counting only the distinct ones).

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

Adding to 220221101201120 its reverse (21102101122022), we get a palindrome (241323202323142).

The spelling of 220221101201120 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twenty".