21100312303200 has 1728 divisors, whose sum is σ = 86317075353600. Its totient is φ = 4806936576000.

The previous prime is 21100312303157. The next prime is 21100312303201. The reversal of 21100312303200 is 230321300112.

21100312303200 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 312 + 30 + 320 + 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 (21100312303201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14189852857 + ... + 14189854343.

It is an arithmetic number, because the mean of its divisors is an integer number (49952011200).

Almost surely, 2^{21100312303200} is an apocalyptic number.

21100312303200 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 21100312303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43158537676800).

21100312303200 is an abundant number, since it is smaller than the sum of its proper divisors (65216763050400).

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

21100312303200 is a wasteful number, since it uses less digits than its factorization.

21100312303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21100312303200 its reverse (230321300112), we get a palindrome (21330633603312).

The spelling of 21100312303200 in words is "twenty-one trillion, one hundred billion, three hundred twelve million, three hundred three thousand, two hundred".