2011121122211 has 4 divisors (see below), whose sum is σ = 2129422364712. Its totient is φ = 1892819879712.

The previous prime is 2011121122187. The next prime is 2011121122229. The reversal of 2011121122211 is 1122211211102.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011121122211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 118301242483 = 2011121122211 / (2 + 0 + 1 + 1 + 1 + 2 + 1 + 1 + 2 + 2 + 2 + 1 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2011121122211.

It is not an unprimeable number, because it can be changed into a prime (2011121124211) 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 3 ways as a sum of consecutive naturals, for example, 59150621225 + ... + 59150621258.

It is an arithmetic number, because the mean of its divisors is an integer number (532355591178).

Almost surely, 2^{2011121122211} is an apocalyptic number.

2011121122211 is a deficient number, since it is larger than the sum of its proper divisors (118301242501).

2011121122211 is a wasteful number, since it uses less digits than its factorization.

2011121122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118301242500.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2011121122211 its reverse (1122211211102), we get a palindrome (3133332333313).

The spelling of 2011121122211 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".