22100100330 has 128 divisors (see below), whose sum is σ = 66178861056. Its totient is φ = 4588704000.

The previous prime is 22100100311. The next prime is 22100100331. The reversal of 22100100330 is 3300100122.

It is a happy number.

It is a super-2 number, since 2×22100100330² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22100100331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3908005 + ... + 3913655.

It is an arithmetic number, because the mean of its divisors is an integer number (517022352).

Almost surely, 2^22100100330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33089430528).

22100100330 is an abundant number, since it is smaller than the sum of its proper divisors (44078760726).

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

22100100330 is a wasteful number, since it uses less digits than its factorization.

22100100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372.

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

Adding to 22100100330 its reverse (3300100122), we get a palindrome (25400200452).

The spelling of 22100100330 in words is "twenty-two billion, one hundred million, one hundred thousand, three hundred thirty".