266110821100 has 144 divisors (see below), whose sum is σ = 621947692800. Its totient is φ = 98593355520.

The previous prime is 266110821083. The next prime is 266110821101. The reversal of 266110821100 is 1128011662.

266110821100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (266110821101) by changing a digit.

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, 9077266 + ... + 9106534.

It is an arithmetic number, because the mean of its divisors is an integer number (4319081200).

Almost surely, 2^266110821100 is an apocalyptic number.

266110821100 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 266110821100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310973846400).

266110821100 is an abundant number, since it is smaller than the sum of its proper divisors (355836871700).

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

266110821100 is a wasteful number, since it uses less digits than its factorization.

266110821100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29432 (or 29425 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 266110821100 its reverse (1128011662), we get a palindrome (267238832762).

The spelling of 266110821100 in words is "two hundred sixty-six billion, one hundred ten million, eight hundred twenty-one thousand, one hundred".