222100220110220 has 96 divisors (see below), whose sum is σ = 489298559500800. Its totient is φ = 84522027110400.

The previous prime is 222100220110211. The next prime is 222100220110261. The reversal of 222100220110220 is 22011022001222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501474431 + ... + 501917129.

It is an arithmetic number, because the mean of its divisors is an integer number (5096859994800).

Almost surely, 2^{222100220110220} is an apocalyptic number.

222100220110220 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 222100220110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244649279750400).

222100220110220 is an abundant number, since it is smaller than the sum of its proper divisors (267198339390580).

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

222100220110220 is a wasteful number, since it uses less digits than its factorization.

222100220110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448575 (or 448573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222100220110220 its reverse (22011022001222), we get a palindrome (244111242111442).

The spelling of 222100220110220 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twenty million, one hundred ten thousand, two hundred twenty".