22112202200100 has 144 divisors (see below), whose sum is σ = 64800722280000. Its totient is φ = 5820871680000.

The previous prime is 22112202200059. The next prime is 22112202200159. The reversal of 22112202200100 is 100220221122.

It is a super-2 number, since 2×22112202200100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22112202200100.

It is an unprimeable number.

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, 30744600 + ... + 31455600.

Almost surely, 2^{22112202200100} is an apocalyptic number.

22112202200100 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 22112202200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400361140000).

22112202200100 is an abundant number, since it is smaller than the sum of its proper divisors (42688520079900).

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

22112202200100 is a wasteful number, since it uses less digits than its factorization.

22112202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712350 (or 712343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22112202200100 its reverse (100220221122), we get a palindrome (22212422421222).

The spelling of 22112202200100 in words is "twenty-two trillion, one hundred twelve billion, two hundred two million, two hundred thousand, one hundred".