221100330000 has 200 divisors, whose sum is σ = 778628084256. Its totient is φ = 53600000000.

The previous prime is 221100329981. The next prime is 221100330001. The reversal of 221100330000 is 33001122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×221100330000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (221100330001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5001 + ... + 665000.

Almost surely, 2^221100330000 is an apocalyptic number.

221100330000 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 221100330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389314042128).

221100330000 is an abundant number, since it is smaller than the sum of its proper divisors (557527754256).

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

221100330000 is a wasteful number, since it uses less digits than its factorization.

221100330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670043 (or 670022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 221100330000 its reverse (33001122), we get a palindrome (221133331122).

The spelling of 221100330000 in words is "two hundred twenty-one billion, one hundred million, three hundred thirty thousand".