21101200100200 has 96 divisors (see below), whose sum is σ = 55246778622720. Its totient is φ = 7425642240000.

The previous prime is 21101200100179. The next prime is 21101200100251. The reversal of 21101200100200 is 200100210112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154632681 + ... + 154769080.

It is an arithmetic number, because the mean of its divisors is an integer number (575487277320).

Almost surely, 2^{21101200100200} is an apocalyptic number.

21101200100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101200100200 is an abundant number, since it is smaller than the sum of its proper divisors (34145578522520).

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

21101200100200 is a wasteful number, since it uses less digits than its factorization.

21101200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309401819 (or 309401810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21101200100200 its reverse (200100210112), we get a palindrome (21301300310312).

The spelling of 21101200100200 in words is "twenty-one trillion, one hundred one billion, two hundred million, one hundred thousand, two hundred".