221233100000 has 144 divisors (see below), whose sum is σ = 593900394192. Its totient is φ = 80448000000.

The previous prime is 221233099999. The next prime is 221233100017. The reversal of 221233100000 is 1332122.

It is a happy number.

It is a super-2 number, since 2×221233100000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999440 + ... + 1200560.

It is an arithmetic number, because the mean of its divisors is an integer number (4124308293).

Almost surely, 2^221233100000 is an apocalyptic number.

221233100000 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 221233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296950197096).

221233100000 is an abundant number, since it is smaller than the sum of its proper divisors (372667294192).

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

221233100000 is an equidigital number, since it uses as much as digits as its factorization.

221233100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201167 (or 201139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 221233100000 its reverse (1332122), we get a palindrome (221234432122).

The spelling of 221233100000 in words is "two hundred twenty-one billion, two hundred thirty-three million, one hundred thousand".