100133132220 has 144 divisors (see below), whose sum is σ = 333959528448. Its totient is φ = 24083498880.

The previous prime is 100133132179. The next prime is 100133132221. The reversal of 100133132220 is 22231331001.

100133132220 is a `hidden beast` number, since 10 + 0 + 1 + 331 + 322 + 2 + 0 = 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 = 100133132193 and 100133132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133132221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52357 + ... + 450563.

It is an arithmetic number, because the mean of its divisors is an integer number (2319163392).

Almost surely, 2^100133132220 is an apocalyptic number.

100133132220 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 100133132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166979764224).

100133132220 is an abundant number, since it is smaller than the sum of its proper divisors (233826396228).

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

100133132220 is a wasteful number, since it uses less digits than its factorization.

100133132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398360 (or 398355 counting only the distinct ones).

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

Adding to 100133132220 its reverse (22231331001), we get a palindrome (122364463221).

The spelling of 100133132220 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty".