211116321 has 32 divisors (see below), whose sum is σ = 338912000. Its totient is φ = 129881232.

The previous prime is 211116313. The next prime is 211116341. The reversal of 211116321 is 123611112.

211116321 = T₂₉ + T₃₀ + ... + T₁₀₈₁.

211116321 is a `hidden beast` number, since 21 + 1 + 11 + 632 + 1 = 666.

It is not a de Polignac number, because 211116321 - 2³ = 211116313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211116294 and 211116303.

It is not an unprimeable number, because it can be changed into a prime (211116341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57540 + ... + 61098.

It is an arithmetic number, because the mean of its divisors is an integer number (10591000).

Almost surely, 2^211116321 is an apocalyptic number.

It is an amenable number.

211116321 is a deficient number, since it is larger than the sum of its proper divisors (127795679).

211116321 is an equidigital number, since it uses as much as digits as its factorization.

211116321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3575 counting only the distinct ones).

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

The square root of 211116321 is about 14529.8424286019. The cubic root of 211116321 is about 595.4435606911.

Adding to 211116321 its reverse (123611112), we get a palindrome (334727433).

The spelling of 211116321 in words is "two hundred eleven million, one hundred sixteen thousand, three hundred twenty-one".