211132021100103 has 32 divisors (see below), whose sum is σ = 317310455193600. Its totient is φ = 138733178392800.

The previous prime is 211132021100081. The next prime is 211132021100227. The reversal of 211132021100103 is 301001120231112.

211132021100103 is a `hidden beast` number, since 21 + 11 + 320 + 211 + 0 + 0 + 103 = 666.

It is not a de Polignac number, because 211132021100103 - 2¹⁴ = 211132021083719 is a prime.

It is a super-2 number, since 2×211132021100103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132021100603) 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 31 ways as a sum of consecutive naturals, for example, 187240003 + ... + 188364228.

It is an arithmetic number, because the mean of its divisors is an integer number (9915951724800).

Almost surely, 2^{211132021100103} is an apocalyptic number.

211132021100103 is a deficient number, since it is larger than the sum of its proper divisors (106178434093497).

211132021100103 is a wasteful number, since it uses less digits than its factorization.

211132021100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375604540 (or 375604534 counting only the distinct ones).

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

Adding to 211132021100103 its reverse (301001120231112), we get a palindrome (512133141331215).

The spelling of 211132021100103 in words is "two hundred eleven trillion, one hundred thirty-two billion, twenty-one million, one hundred thousand, one hundred three".