22140042100 has 144 divisors (see below), whose sum is σ = 53896550400. Its totient is φ = 7824700800.

The previous prime is 22140042097. The next prime is 22140042101. The reversal of 22140042100 is 124004122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22140042101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10546851 + ... + 10548949.

It is an arithmetic number, because the mean of its divisors is an integer number (374281600).

Almost surely, 2^22140042100 is an apocalyptic number.

22140042100 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 22140042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948275200).

22140042100 is an abundant number, since it is smaller than the sum of its proper divisors (31756508300).

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

22140042100 is a wasteful number, since it uses less digits than its factorization.

22140042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22140042100 its reverse (124004122), we get a palindrome (22264046222).

The spelling of 22140042100 in words is "twenty-two billion, one hundred forty million, forty-two thousand, one hundred".