233332322120100 has 1440 divisors, whose sum is σ = 889240147488000. Its totient is φ = 52901372160000.

The previous prime is 233332322120077. The next prime is 233332322120147. The reversal of 233332322120100 is 1021223233332.

233332322120100 is a `hidden beast` number, since 2 + 3 + 3 + 332 + 3 + 221 + 2 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 218271582366 + ... + 218271583434.

It is an arithmetic number, because the mean of its divisors is an integer number (617527880200).

Almost surely, 2^{233332322120100} is an apocalyptic number.

233332322120100 is a gapful number since it is divisible by the number (20) 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 233332322120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444620073744000).

233332322120100 is an abundant number, since it is smaller than the sum of its proper divisors (655907825367900).

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

233332322120100 is a wasteful number, since it uses less digits than its factorization.

233332322120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 233332322120100 its reverse (1021223233332), we get a palindrome (234353545353432).

The spelling of 233332322120100 in words is "two hundred thirty-three trillion, three hundred thirty-two billion, three hundred twenty-two million, one hundred twenty thousand, one hundred".