221020112000 has 64 divisors (see below), whose sum is σ = 549511293240. Its totient is φ = 88408038400.

The previous prime is 221020111997. The next prime is 221020112021. The reversal of 221020112000 is 211020122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34112612416 + 186907499584 = 184696^2 + 432328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 6890879 + ... + 6922878.

Almost surely, 2^221020112000 is an apocalyptic number.

221020112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020112000 is an abundant number, since it is smaller than the sum of its proper divisors (328491181240).

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

221020112000 is an equidigital number, since it uses as much as digits as its factorization.

221020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813786 (or 13813764 counting only the distinct ones).

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

Adding to 221020112000 its reverse (211020122), we get a palindrome (221231132122).

The spelling of 221020112000 in words is "two hundred twenty-one billion, twenty million, one hundred twelve thousand".