22133330100 has 432 divisors, whose sum is σ = 83593316352. Its totient is φ = 4788875520.

The previous prime is 22133330069. The next prime is 22133330113. The reversal of 22133330100 is 103333122.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 14923959 + ... + 14925441.

Almost surely, 2^22133330100 is an apocalyptic number.

22133330100 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 22133330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41796658176).

22133330100 is an abundant number, since it is smaller than the sum of its proper divisors (61459986252).

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

22133330100 is a wasteful number, since it uses less digits than its factorization.

22133330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22133330100 its reverse (103333122), we get a palindrome (22236663222).

The spelling of 22133330100 in words is "twenty-two billion, one hundred thirty-three million, three hundred thirty thousand, one hundred".