211112331201 has 24 divisors (see below), whose sum is σ = 308019929256. Its totient is φ = 139320614400.

The previous prime is 211112331179. The next prime is 211112331233. The reversal of 211112331201 is 102133211112.

211112331201 is a `hidden beast` number, since 21 + 1 + 112 + 331 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132659122176 + 78453209025 = 364224^2 + 280095^2 .

It is not a de Polignac number, because 211112331201 - 2¹⁷ = 211112200129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211112331901) by changing a digit.

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, 5264041 + ... + 5303993.

It is an arithmetic number, because the mean of its divisors is an integer number (12834163719).

Almost surely, 2^211112331201 is an apocalyptic number.

It is an amenable number.

211112331201 is a deficient number, since it is larger than the sum of its proper divisors (96907598055).

211112331201 is a wasteful number, since it uses less digits than its factorization.

211112331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45873 (or 45870 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211112331201 its reverse (102133211112), we get a palindrome (313245542313).

The spelling of 211112331201 in words is "two hundred eleven billion, one hundred twelve million, three hundred thirty-one thousand, two hundred one".