221102021221120 has 576 divisors, whose sum is σ = 600217129451520. Its totient is φ = 77425240375296.

The previous prime is 221102021221111. The next prime is 221102021221157. The reversal of 221102021221120 is 21122120201122.

It is a super-2 number, since 2×221102021221120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25358640121 + ... + 25358648839.

It is an arithmetic number, because the mean of its divisors is an integer number (1042043627520).

Almost surely, 2^{221102021221120} is an apocalyptic number.

221102021221120 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 221102021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300108564725760).

221102021221120 is an abundant number, since it is smaller than the sum of its proper divisors (379115108230400).

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

221102021221120 is a wasteful number, since it uses less digits than its factorization.

221102021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9332 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221102021221120 its reverse (21122120201122), we get a palindrome (242224141422242).

The spelling of 221102021221120 in words is "two hundred twenty-one trillion, one hundred two billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".