100223002344344 has 128 divisors (see below), whose sum is σ = 215257965281280. Its totient is φ = 43330291804800.

The previous prime is 100223002344343. The next prime is 100223002344401. The reversal of 100223002344344 is 443443200322001.

It is a self number, because there is not a number n which added to its sum of digits gives 100223002344344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223002344341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80350877 + ... + 81588659.

It is an arithmetic number, because the mean of its divisors is an integer number (1681702853760).

Almost surely, 2^{100223002344344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100223002344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107628982640640).

100223002344344 is an abundant number, since it is smaller than the sum of its proper divisors (115034962936936).

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

100223002344344 is a wasteful number, since it uses less digits than its factorization.

100223002344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238341 (or 1238337 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 100223002344344 its reverse (443443200322001), we get a palindrome (543666202666345).

The spelling of 100223002344344 in words is "one hundred trillion, two hundred twenty-three billion, two million, three hundred forty-four thousand, three hundred forty-four".