22020020100 has 360 divisors, whose sum is σ = 81399430728. Its totient is φ = 5101056000.

The previous prime is 22020020093. The next prime is 22020020111. The reversal of 22020020100 is 102002022.

It can be written as a sum of positive squares in 12 ways, for example, as 8217059904 + 13802960196 = 90648^2 + 117486^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1783950 + ... + 1796250.

Almost surely, 2^22020020100 is an apocalyptic number.

22020020100 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 22020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40699715364).

22020020100 is an abundant number, since it is smaller than the sum of its proper divisors (59379410628).

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

22020020100 is a wasteful number, since it uses less digits than its factorization.

22020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12357 (or 12341 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22020020100 its reverse (102002022), we get a palindrome (22122022122).

The spelling of 22020020100 in words is "twenty-two billion, twenty million, twenty thousand, one hundred".