100333221120 has 432 divisors, whose sum is σ = 390932365824. Its totient is φ = 23537664000.

The previous prime is 100333221119. The next prime is 100333221133. The reversal of 100333221120 is 21122333001.

100333221120 is a `hidden beast` number, since 100 + 3 + 332 + 211 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100333221093 and 100333221102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3915550 + ... + 3941090.

It is an arithmetic number, because the mean of its divisors is an integer number (904936032).

Almost surely, 2^100333221120 is an apocalyptic number.

100333221120 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 100333221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195466182912).

100333221120 is an abundant number, since it is smaller than the sum of its proper divisors (290599144704).

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

100333221120 is a wasteful number, since it uses less digits than its factorization.

100333221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100333221120 its reverse (21122333001), we get a palindrome (121455554121).

The spelling of 100333221120 in words is "one hundred billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".