221000010984 has 128 divisors (see below), whose sum is σ = 625811443200. Its totient is φ = 72237484800.

The previous prime is 221000010949. The next prime is 221000010991. The reversal of 221000010984 is 489010000122.

221000010984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 27276534 + ... + 27284634.

It is an arithmetic number, because the mean of its divisors is an integer number (4889151900).

Almost surely, 2^221000010984 is an apocalyptic number.

221000010984 is a gapful number since it is divisible by the number (24) 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 221000010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312905721600).

221000010984 is an abundant number, since it is smaller than the sum of its proper divisors (404811432216).

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

221000010984 is a wasteful number, since it uses less digits than its factorization.

221000010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 221000010984 in words is "two hundred twenty-one billion, ten thousand, nine hundred eighty-four".