212100113211 has 16 divisors (see below), whose sum is σ = 329796096000. Its totient is φ = 121200064104.

The previous prime is 212100113191. The next prime is 212100113273. The reversal of 212100113211 is 112311001212.

212100113211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212100113211 - 2¹⁷ = 212099982139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212100113111) 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 15 ways as a sum of consecutive naturals, for example, 103060251 + ... + 103062308.

It is an arithmetic number, because the mean of its divisors is an integer number (20612256000).

Almost surely, 2^212100113211 is an apocalyptic number.

212100113211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212100113211 is a deficient number, since it is larger than the sum of its proper divisors (117695982789).

212100113211 is an equidigital number, since it uses as much as digits as its factorization.

212100113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206122583 (or 206122569 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212100113211 its reverse (112311001212), we get a palindrome (324411114423).

The spelling of 212100113211 in words is "two hundred twelve billion, one hundred million, one hundred thirteen thousand, two hundred eleven".