22111221212100 has 864 divisors, whose sum is σ = 76196475613440. Its totient is φ = 5340372664320.

The previous prime is 22111221212077. The next prime is 22111221212111. The reversal of 22111221212100 is 121212211122.

22111221212100 is a `hidden beast` number, since 2 + 211 + 1 + 221 + 21 + 210 + 0 = 666.

It is a super-2 number, since 2×22111221212100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38321007012 + ... + 38321007588.

Almost surely, 2^{22111221212100} is an apocalyptic number.

22111221212100 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 22111221212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38098237806720).

22111221212100 is an abundant number, since it is smaller than the sum of its proper divisors (54085254401340).

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

22111221212100 is a wasteful number, since it uses less digits than its factorization.

22111221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111221212100 its reverse (121212211122), we get a palindrome (22232433423222).

The spelling of 22111221212100 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".