22102111200 has 288 divisors, whose sum is σ = 77782959072. Its totient is φ = 5419008000.

The previous prime is 22102111181. The next prime is 22102111201. The reversal of 22102111200 is 211120122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102111201) by changing a digit.

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, 8765940 + ... + 8768460.

It is an arithmetic number, because the mean of its divisors is an integer number (270079719).

Almost surely, 2^22102111200 is an apocalyptic number.

22102111200 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 22102111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38891479536).

22102111200 is an abundant number, since it is smaller than the sum of its proper divisors (55680847872).

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

22102111200 is a wasteful number, since it uses less digits than its factorization.

22102111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22102111200 its reverse (211120122), we get a palindrome (22313231322).

It can be divided in two parts, 221021 and 11200, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 22102111200 in words is "twenty-two billion, one hundred two million, one hundred eleven thousand, two hundred".