100233133220 has 96 divisors (see below), whose sum is σ = 245864989440. Its totient is φ = 33918832640.

The previous prime is 100233133211. The next prime is 100233133223. The reversal of 100233133220 is 22331332001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100233133192 and 100233133201.

It is not an unprimeable number, because it can be changed into a prime (100233133223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182297 + ... + 483423.

It is an arithmetic number, because the mean of its divisors is an integer number (2561093640).

Almost surely, 2^100233133220 is an apocalyptic number.

100233133220 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 100233133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122932494720).

100233133220 is an abundant number, since it is smaller than the sum of its proper divisors (145631856220).

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

100233133220 is a wasteful number, since it uses less digits than its factorization.

100233133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301253 (or 301251 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100233133220 its reverse (22331332001), we get a palindrome (122564465221).

The spelling of 100233133220 in words is "one hundred billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred twenty".