2011121222011 has 16 divisors (see below), whose sum is σ = 2363128986240. Its totient is φ = 1691785509120.

The previous prime is 2011121222003. The next prime is 2011121222029. The reversal of 2011121222011 is 1102221211102.

It is a cyclic number.

It is not a de Polignac number, because 2011121222011 - 2³ = 2011121222003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011121222041) 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, 111881590 + ... + 111899563.

It is an arithmetic number, because the mean of its divisors is an integer number (147695561640).

Almost surely, 2^{2011121222011} is an apocalyptic number.

2011121222011 is a deficient number, since it is larger than the sum of its proper divisors (352007764229).

2011121222011 is a wasteful number, since it uses less digits than its factorization.

2011121222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223781226.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2011121222011 its reverse (1102221211102), we get a palindrome (3113342433113).

The spelling of 2011121222011 in words is "two trillion, eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, eleven".