2011122221211 has 16 divisors (see below), whose sum is σ = 3035656185120. Its totient is φ = 1315451011680.

The previous prime is 2011122221209. The next prime is 2011122221263. The reversal of 2011122221211 is 1121222211102.

2011122221211 is a `hidden beast` number, since 201 + 11 + 22 + 221 + 211 = 666.

It is not a de Polignac number, because 2011122221211 - 2¹ = 2011122221209 is a prime.

It is a super-2 number, since 2×2011122221211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011122221281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702696760 + ... + 702699621.

It is an arithmetic number, because the mean of its divisors is an integer number (189728511570).

Almost surely, 2^{2011122221211} is an apocalyptic number.

2011122221211 is a deficient number, since it is larger than the sum of its proper divisors (1024533963909).

2011122221211 is a wasteful number, since it uses less digits than its factorization.

2011122221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405396443 (or 1405396437 counting only the distinct ones).

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

Adding to 2011122221211 its reverse (1121222211102), we get a palindrome (3132344432313).

The spelling of 2011122221211 in words is "two trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred eleven".