211322233121103 has 288 divisors, whose sum is σ = 364004180467200. Its totient is φ = 117287717437440.

The previous prime is 211322233121099. The next prime is 211322233121141. The reversal of 211322233121103 is 301121332223112.

211322233121103 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 222 + 331 + 2 + 1 + 103 = 666.

It is not a de Polignac number, because 211322233121103 - 2² = 211322233121099 is a prime.

It is a super-2 number, since 2×211322233121103² (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 (211322233121803) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55132331275 + ... + 55132335107.

It is an arithmetic number, because the mean of its divisors is an integer number (1263903404400).

Almost surely, 2^{211322233121103} is an apocalyptic number.

211322233121103 is a deficient number, since it is larger than the sum of its proper divisors (152681947346097).

211322233121103 is a wasteful number, since it uses less digits than its factorization.

211322233121103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 211322233121103 its reverse (301121332223112), we get a palindrome (512443565344215).

The spelling of 211322233121103 in words is "two hundred eleven trillion, three hundred twenty-two billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred three".