211141201300 has 36 divisors (see below), whose sum is σ = 458223636220. Its totient is φ = 84447774720.

The previous prime is 211141201289. The next prime is 211141201307. The reversal of 211141201300 is 3102141112.

211141201300 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 596043396 + 210545157904 = 24414^2 + 458852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141201307) 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 11 ways as a sum of consecutive naturals, for example, 913966 + ... + 1121434.

Almost surely, 2^211141201300 is an apocalyptic number.

211141201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141201300 is an abundant number, since it is smaller than the sum of its proper divisors (247082434920).

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

211141201300 is a wasteful number, since it uses less digits than its factorization.

211141201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217660 (or 217653 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211141201300 its reverse (3102141112), we get a palindrome (214243342412).

The spelling of 211141201300 in words is "two hundred eleven billion, one hundred forty-one million, two hundred one thousand, three hundred".