100133201220 has 96 divisors (see below), whose sum is σ = 302971318272. Its totient is φ = 24563993088.

The previous prime is 100133201209. The next prime is 100133201237. The reversal of 100133201220 is 22102331001.

100133201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100133201220.

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, 9469 + ... + 447611.

It is an arithmetic number, because the mean of its divisors is an integer number (3155951232).

Almost surely, 2^100133201220 is an apocalyptic number.

100133201220 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 100133201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151485659136).

100133201220 is an abundant number, since it is smaller than the sum of its proper divisors (202838117052).

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

100133201220 is a wasteful number, since it uses less digits than its factorization.

100133201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438461 (or 438459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100133201220 its reverse (22102331001), we get a palindrome (122235532221).

The spelling of 100133201220 in words is "one hundred billion, one hundred thirty-three million, two hundred one thousand, two hundred twenty".