21100233200112 has 240 divisors, whose sum is σ = 66176386484832. Its totient is φ = 6219726151680.

The previous prime is 21100233200089. The next prime is 21100233200129.

21100233200112 is a `hidden beast` number, since 21 + 100 + 233 + 200 + 112 = 666.

21100233200112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 261175468 + ... + 261256244.

Almost surely, 2^{21100233200112} is an apocalyptic number.

21100233200112 is a gapful number since it is divisible by the number (22) 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 21100233200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33088193242416).

21100233200112 is an abundant number, since it is smaller than the sum of its proper divisors (45076153284720).

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

21100233200112 is a wasteful number, since it uses less digits than its factorization.

21100233200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85296 (or 85287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2110023 and 3200112, that added together give a palindrome (5310135).

The spelling of 21100233200112 in words is "twenty-one trillion, one hundred billion, two hundred thirty-three million, two hundred thousand, one hundred twelve".