21100110000200 has 288 divisors, whose sum is σ = 62871530875200. Its totient is φ = 6511538880000.

The previous prime is 21100110000031. The next prime is 21100110000217. The reversal of 21100110000200 is 200001100112.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 71 ways as a sum of consecutive naturals, for example, 9918821 + ... + 11856779.

It is an arithmetic number, because the mean of its divisors is an integer number (218303926650).

Almost surely, 2^{21100110000200} is an apocalyptic number.

21100110000200 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 21100110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435765437600).

21100110000200 is an abundant number, since it is smaller than the sum of its proper divisors (41771420875000).

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

21100110000200 is a wasteful number, since it uses less digits than its factorization.

21100110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938101 (or 1938085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21100110000200 its reverse (200001100112), we get a palindrome (21300111100312).

It can be divided in two parts, 211001 and 10000200, that added together give a palindrome (10211201).

The spelling of 21100110000200 in words is "twenty-one trillion, one hundred billion, one hundred ten million, two hundred", and thus it is an aban number.