22101319800 has 480 divisors, whose sum is σ = 90571345920. Its totient is φ = 4887993600.

The previous prime is 22101319771. The next prime is 22101319811. The reversal of 22101319800 is 891310122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3512257 + ... + 3518543.

It is an arithmetic number, because the mean of its divisors is an integer number (188690304).

Almost surely, 2^22101319800 is an apocalyptic number.

22101319800 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 22101319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45285672960).

22101319800 is an abundant number, since it is smaller than the sum of its proper divisors (68470026120).

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

22101319800 is a wasteful number, since it uses less digits than its factorization.

22101319800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 22101319800 its reverse (891310122), we get a palindrome (22992629922).

The spelling of 22101319800 in words is "twenty-two billion, one hundred one million, three hundred nineteen thousand, eight hundred".