221101222200100 has 216 divisors, whose sum is σ = 532941220141344. Its totient is φ = 79551816960000.

The previous prime is 221101222200091. The next prime is 221101222200113. The reversal of 221101222200100 is 1002222101122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5224117539 + ... + 5224159861.

Almost surely, 2^{221101222200100} is an apocalyptic number.

221101222200100 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 221101222200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266470610070672).

221101222200100 is an abundant number, since it is smaller than the sum of its proper divisors (311839997941244).

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

221101222200100 is a wasteful number, since it uses less digits than its factorization.

221101222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46907 (or 46889 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221101222200100 its reverse (1002222101122), we get a palindrome (222103444301222).

The spelling of 221101222200100 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-two million, two hundred thousand, one hundred".