212011122002211 has 24 divisors (see below), whose sum is σ = 350227817981184. Its totient is φ = 121065718921200.

The previous prime is 212011122002191. The next prime is 212011122002213. The reversal of 212011122002211 is 112200221110212.

212011122002211 is a `hidden beast` number, since 2 + 120 + 111 + 220 + 0 + 2 + 211 = 666.

It is not a de Polignac number, because 212011122002211 - 2³⁴ = 211993942133027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212011122002213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159541911 + ... + 1159724736.

It is an arithmetic number, because the mean of its divisors is an integer number (14592825749216).

Almost surely, 2^{212011122002211} is an apocalyptic number.

212011122002211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212011122002211 is a deficient number, since it is larger than the sum of its proper divisors (138216695978973).

212011122002211 is a wasteful number, since it uses less digits than its factorization.

212011122002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319268111 (or 2319268108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212011122002211 its reverse (112200221110212), we get a palindrome (324211343112423).

The spelling of 212011122002211 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-two million, two thousand, two hundred eleven".