221100110000 has 400 divisors, whose sum is σ = 674238774528. Its totient is φ = 68208000000.

The previous prime is 221100109981. The next prime is 221100110041. The reversal of 221100110000 is 11001122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 221100110000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77768579 + ... + 77771421.

Almost surely, 2^221100110000 is an apocalyptic number.

221100110000 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 221100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337119387264).

221100110000 is an abundant number, since it is smaller than the sum of its proper divisors (453138664528).

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

221100110000 is a wasteful number, since it uses less digits than its factorization.

221100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221100110000 its reverse (11001122), we get a palindrome (221111111122).

The spelling of 221100110000 in words is "two hundred twenty-one billion, one hundred million, one hundred ten thousand".