22000222102100 has 144 divisors (see below), whose sum is σ = 52146487411200. Its totient is φ = 7989956016000.

The previous prime is 22000222102099. The next prime is 22000222102207. The reversal of 22000222102100 is 120122200022.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3887649071 + ... + 3887654729.

It is an arithmetic number, because the mean of its divisors is an integer number (362128384800).

Almost surely, 2^{22000222102100} is an apocalyptic number.

22000222102100 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 22000222102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26073243705600).

22000222102100 is an abundant number, since it is smaller than the sum of its proper divisors (30146265309100).

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

22000222102100 is a wasteful number, since it uses less digits than its factorization.

22000222102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22000222102100 its reverse (120122200022), we get a palindrome (22120344302122).

The spelling of 22000222102100 in words is "twenty-two trillion, two hundred twenty-two million, one hundred two thousand, one hundred".