221231101344 has 192 divisors, whose sum is σ = 673477701120. Its totient is φ = 62881920000.

The previous prime is 221231101339. The next prime is 221231101367. The reversal of 221231101344 is 443101132122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1971879 + ... + 2081049.

It is an arithmetic number, because the mean of its divisors is an integer number (3507696360).

Almost surely, 2^221231101344 is an apocalyptic number.

221231101344 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 221231101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336738850560).

221231101344 is an abundant number, since it is smaller than the sum of its proper divisors (452246599776).

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

221231101344 is a wasteful number, since it uses less digits than its factorization.

221231101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109315 (or 109307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221231101344 its reverse (443101132122), we get a palindrome (664332233466).

The spelling of 221231101344 in words is "two hundred twenty-one billion, two hundred thirty-one million, one hundred one thousand, three hundred forty-four".