221020000000 has 288 divisors, whose sum is σ = 566489956032. Its totient is φ = 86016000000.

The previous prime is 221019999979. The next prime is 221020000013. The reversal of 221020000000 is 20122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859999872 + ... + 860000128.

It is an arithmetic number, because the mean of its divisors is an integer number (1966979014).

Almost surely, 2^221020000000 is an apocalyptic number.

221020000000 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 221020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244978016).

221020000000 is an abundant number, since it is smaller than the sum of its proper divisors (345469956032).

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

221020000000 is an frugal number, since it uses more digits than its factorization.

221020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 221020000000 its reverse (20122), we get a palindrome (221020020122).

The spelling of 221020000000 in words is "two hundred twenty-one billion, twenty million", and thus it is an aban number.