220133000100 has 144 divisors (see below), whose sum is σ = 687627239040. Its totient is φ = 54051072000.

The previous prime is 220133000071. The next prime is 220133000147. The reversal of 220133000100 is 1000331022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493521 + ... + 1634279.

It is an arithmetic number, because the mean of its divisors is an integer number (4775189160).

Almost surely, 2^220133000100 is an apocalyptic number.

220133000100 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 220133000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343813619520).

220133000100 is an abundant number, since it is smaller than the sum of its proper divisors (467494238940).

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

220133000100 is a wasteful number, since it uses less digits than its factorization.

220133000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141190 (or 141183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 220133000100 its reverse (1000331022), we get a palindrome (221133331122).

The spelling of 220133000100 in words is "two hundred twenty billion, one hundred thirty-three million, one hundred", and thus it is an aban number.