22112121211100 has 18 divisors (see below), whose sum is σ = 47983303028304. Its totient is φ = 8844848484400.

The previous prime is 22112121211073. The next prime is 22112121211121. The reversal of 22112121211100 is 111212121122.

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 5 ways as a sum of consecutive naturals, for example, 110560605956 + ... + 110560606155.

It is an arithmetic number, because the mean of its divisors is an integer number (2665739057128).

Almost surely, 2^{22112121211100} is an apocalyptic number.

22112121211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112121211100 is an abundant number, since it is smaller than the sum of its proper divisors (25871181817204).

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

22112121211100 is a wasteful number, since it uses less digits than its factorization.

22112121211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221121212125 (or 221121212118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22112121211100 its reverse (111212121122), we get a palindrome (22223333332222).

The spelling of 22112121211100 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".