100223033120 has 192 divisors, whose sum is σ = 290907832320. Its totient is φ = 31860698112.

The previous prime is 100223033087. The next prime is 100223033137. The reversal of 100223033120 is 21330322001.

100223033120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 950057 + ... + 1050263.

It is an arithmetic number, because the mean of its divisors is an integer number (1515144960).

Almost surely, 2^100223033120 is an apocalyptic number.

100223033120 is a gapful number since it is divisible by the number (10) 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 100223033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145453916160).

100223033120 is an abundant number, since it is smaller than the sum of its proper divisors (190684799200).

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

100223033120 is a wasteful number, since it uses less digits than its factorization.

100223033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100295 (or 100287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100223033120 its reverse (21330322001), we get a palindrome (121553355121).

The spelling of 100223033120 in words is "one hundred billion, two hundred twenty-three million, thirty-three thousand, one hundred twenty".