22000221200100 has 288 divisors, whose sum is σ = 74790283115520. Its totient is φ = 4922600256000.

The previous prime is 22000221200053. The next prime is 22000221200123. The reversal of 22000221200100 is 100212200022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513534481 + ... + 513577319.

It is an arithmetic number, because the mean of its divisors is an integer number (259688483040).

Almost surely, 2^{22000221200100} is an apocalyptic number.

22000221200100 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 22000221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37395141557760).

22000221200100 is an abundant number, since it is smaller than the sum of its proper divisors (52790061915420).

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

22000221200100 is a wasteful number, since it uses less digits than its factorization.

22000221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54851 (or 54844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22000221200100 its reverse (100212200022), we get a palindrome (22100433400122).

The spelling of 22000221200100 in words is "twenty-two trillion, two hundred twenty-one million, two hundred thousand, one hundred".