21100233201300 has 216 divisors, whose sum is σ = 72153142632480. Its totient is φ = 5114985926400.

The previous prime is 21100233201293. The next prime is 21100233201329. The reversal of 21100233201300 is 310233200112.

21100233201300 is a `hidden beast` number, since 2 + 110 + 0 + 233 + 20 + 1 + 300 = 666.

It is a super-2 number, since 2×21100233201300² (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 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 71 ways as a sum of consecutive naturals, for example, 426595971 + ... + 426645429.

Almost surely, 2^{21100233201300} is an apocalyptic number.

21100233201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100233201300 is an abundant number, since it is smaller than the sum of its proper divisors (51052909431180).

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

21100233201300 is a wasteful number, since it uses less digits than its factorization.

21100233201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92583 (or 92573 counting only the distinct ones).

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

Adding to 21100233201300 its reverse (310233200112), we get a palindrome (21410466401412).

The spelling of 21100233201300 in words is "twenty-one trillion, one hundred billion, two hundred thirty-three million, two hundred one thousand, three hundred".