211322121300 has 108 divisors (see below), whose sum is σ = 685218135420. Its totient is φ = 54409367040.

The previous prime is 211322121259. The next prime is 211322121301. The reversal of 211322121300 is 3121223112.

211322121300 is a `hidden beast` number, since 21 + 1 + 322 + 1 + 21 + 300 = 666.

211322121300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17929745604 + 193392375696 = 133902^2 + 439764^2 .

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 (211322121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4022217 + ... + 4074416.

It is an arithmetic number, because the mean of its divisors is an integer number (6344612365).

Almost surely, 2^211322121300 is an apocalyptic number.

211322121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322121300 is an abundant number, since it is smaller than the sum of its proper divisors (473896014120).

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

211322121300 is a wasteful number, since it uses less digits than its factorization.

211322121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096682 (or 8096672 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211322121300 its reverse (3121223112), we get a palindrome (214443344412).

It can be divided in two parts, 2113221 and 21300, that added together give a square (2134521 = 1461²).

The spelling of 211322121300 in words is "two hundred eleven billion, three hundred twenty-two million, one hundred twenty-one thousand, three hundred".