22401340100 has 72 divisors (see below), whose sum is σ = 51210784800. Its totient is φ = 8482060800.

The previous prime is 22401340069. The next prime is 22401340123. The reversal of 22401340100 is 104310422.

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 23 ways as a sum of consecutive naturals, for example, 2768060 + ... + 2776140.

It is an arithmetic number, because the mean of its divisors is an integer number (711260900).

Almost surely, 2^22401340100 is an apocalyptic number.

22401340100 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 22401340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25605392400).

22401340100 is an abundant number, since it is smaller than the sum of its proper divisors (28809444700).

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

22401340100 is a wasteful number, since it uses less digits than its factorization.

22401340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22401340100 its reverse (104310422), we get a palindrome (22505650522).

The spelling of 22401340100 in words is "twenty-two billion, four hundred one million, three hundred forty thousand, one hundred".