221100221000120 has 256 divisors, whose sum is σ = 634162945996800. Its totient is φ = 67943721753600.

The previous prime is 221100221000089. The next prime is 221100221000177. The reversal of 221100221000120 is 21000122001122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221100221000095 and 221100221000104.

It is a congruent number.

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, 22282316 + ... + 30638244.

It is an arithmetic number, because the mean of its divisors is an integer number (2477199007800).

Almost surely, 2^{221100221000120} is an apocalyptic number.

221100221000120 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 221100221000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317081472998400).

221100221000120 is an abundant number, since it is smaller than the sum of its proper divisors (413062724996680).

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

221100221000120 is a wasteful number, since it uses less digits than its factorization.

221100221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356051 (or 8356025 counting only the distinct ones).

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

Adding to 221100221000120 its reverse (21000122001122), we get a palindrome (242100343001242).

The spelling of 221100221000120 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.