221321001120 has 96 divisors (see below), whose sum is σ = 702250129728. Its totient is φ = 58588121088.

The previous prime is 221321001107. The next prime is 221321001149. The reversal of 221321001120 is 21100123122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221321001120.

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 15 ways as a sum of consecutive naturals, for example, 1617034 + ... + 1748553.

It is an arithmetic number, because the mean of its divisors is an integer number (7315105518).

Almost surely, 2^221321001120 is an apocalyptic number.

221321001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221321001120 is an abundant number, since it is smaller than the sum of its proper divisors (480929128608).

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

221321001120 is a wasteful number, since it uses less digits than its factorization.

221321001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365742 (or 3365734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221321001120 its reverse (21100123122), we get a palindrome (242421124242).

The spelling of 221321001120 in words is "two hundred twenty-one billion, three hundred twenty-one million, one thousand, one hundred twenty".