100333132220 has 48 divisors (see below), whose sum is σ = 218296663200. Its totient is φ = 38690400000.

The previous prime is 100333132199. The next prime is 100333132241. The reversal of 100333132220 is 22231333001.

100333132220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100333132199) and next prime (100333132241).

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 = 100333132192 and 100333132201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 250970 + ... + 513470.

It is an arithmetic number, because the mean of its divisors is an integer number (4547847150).

Almost surely, 2^100333132220 is an apocalyptic number.

100333132220 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 100333132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109148331600).

100333132220 is an abundant number, since it is smaller than the sum of its proper divisors (117963530980).

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

100333132220 is a wasteful number, since it uses less digits than its factorization.

100333132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263198 (or 263196 counting only the distinct ones).

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

Adding to 100333132220 its reverse (22231333001), we get a palindrome (122564465221).

The spelling of 100333132220 in words is "one hundred billion, three hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty".