211212022102011 has 48 divisors (see below), whose sum is σ = 349463209455360. Its totient is φ = 120417193172160.

The previous prime is 211212022102001. The next prime is 211212022102031. The reversal of 211212022102011 is 110201220212112.

211212022102011 is a `hidden beast` number, since 211 + 21 + 20 + 2 + 210 + 201 + 1 = 666.

It is not a de Polignac number, because 211212022102011 - 2⁹ = 211212022101499 is a prime.

It is a super-3 number, since 3×211212022102011³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211212022102001) 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 47 ways as a sum of consecutive naturals, for example, 259906720 + ... + 260718098.

It is an arithmetic number, because the mean of its divisors is an integer number (7280483530320).

Almost surely, 2^{211212022102011} is an apocalyptic number.

211212022102011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211212022102011 is a deficient number, since it is larger than the sum of its proper divisors (138251187353349).

211212022102011 is a wasteful number, since it uses less digits than its factorization.

211212022102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820816 (or 820813 counting only the distinct ones).

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

Adding to 211212022102011 its reverse (110201220212112), we get a palindrome (321413242314123).

The spelling of 211212022102011 in words is "two hundred eleven trillion, two hundred twelve billion, twenty-two million, one hundred two thousand, eleven".