22440021020100 has 216 divisors, whose sum is σ = 74043362484000. Its totient is φ = 5668719828480.

The previous prime is 22440021020093. The next prime is 22440021020101. The reversal of 22440021020100 is 102012004422.

22440021020100 is a `hidden beast` number, since 2 + 2 + 440 + 0 + 21 + 0 + 201 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22440021020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415998931 + ... + 416052869.

Almost surely, 2^{22440021020100} is an apocalyptic number.

22440021020100 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 22440021020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37021681242000).

22440021020100 is an abundant number, since it is smaller than the sum of its proper divisors (51603341463900).

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

22440021020100 is a wasteful number, since it uses less digits than its factorization.

22440021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78307 (or 78297 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22440021020100 its reverse (102012004422), we get a palindrome (22542033024522).

The spelling of 22440021020100 in words is "twenty-two trillion, four hundred forty billion, twenty-one million, twenty thousand, one hundred".