221101220000 has 120 divisors (see below), whose sum is σ = 562700268900. Its totient is φ = 85390592000.

The previous prime is 221101219987. The next prime is 221101220071. The reversal of 221101220000 is 22101122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 79878586384 + 141222633616 = 282628^2 + 375796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 389396 + ... + 770604.

Almost surely, 2^221101220000 is an apocalyptic number.

221101220000 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 221101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281350134450).

221101220000 is an abundant number, since it is smaller than the sum of its proper divisors (341599048900).

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

221101220000 is an equidigital number, since it uses as much as digits as its factorization.

221101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381268 (or 381245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221101220000 its reverse (22101122), we get a palindrome (221123321122).

The spelling of 221101220000 in words is "two hundred twenty-one billion, one hundred one million, two hundred twenty thousand".