111132221102100 has 864 divisors, whose sum is σ = 402485439283200. Its totient is φ = 25401517056000.

The previous prime is 111132221102069. The next prime is 111132221102107. The reversal of 111132221102100 is 1201122231111.

It is a happy number.

111132221102100 is a `hidden beast` number, since 1 + 111 + 322 + 21 + 1 + 0 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132221102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2237701869 + ... + 2237751531.

It is an arithmetic number, because the mean of its divisors is an integer number (465839628800).

Almost surely, 2^{111132221102100} is an apocalyptic number.

111132221102100 is a gapful number since it is divisible by the number (10) 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 111132221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201242719641600).

111132221102100 is an abundant number, since it is smaller than the sum of its proper divisors (291353218181100).

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

111132221102100 is a wasteful number, since it uses less digits than its factorization.

111132221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49921 (or 49911 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111132221102100 its reverse (1201122231111), we get a palindrome (112333343333211).

The spelling of 111132221102100 in words is "one hundred eleven trillion, one hundred thirty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred".