221100020000 has 60 divisors (see below), whose sum is σ = 543939263406. Its totient is φ = 88440000000.

The previous prime is 221100019999. The next prime is 221100020017. The reversal of 221100020000 is 20001122.

221100020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 654745744 + 220445274256 = 25588^2 + 469516^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 221100020000.

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 9 ways as a sum of consecutive naturals, for example, 5507501 + ... + 5547500.

Almost surely, 2^221100020000 is an apocalyptic number.

221100020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100020000 is an abundant number, since it is smaller than the sum of its proper divisors (322839243406).

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

221100020000 is an equidigital number, since it uses as much as digits as its factorization.

221100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055031 (or 11055008 counting only the distinct ones).

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

Adding to 221100020000 its reverse (20001122), we get a palindrome (221120021122).

The spelling of 221100020000 in words is "two hundred twenty-one billion, one hundred million, twenty thousand".