2011120221011 has 8 divisors (see below), whose sum is σ = 2229915715248. Its totient is φ = 1798319124000.

The previous prime is 2011120221001. The next prime is 2011120221029. The reversal of 2011120221011 is 1101220211102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011120221011 - 2¹⁴ = 2011120204627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011120221001) 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 7 ways as a sum of consecutive naturals, for example, 1498598600 + ... + 1498599941.

It is an arithmetic number, because the mean of its divisors is an integer number (278739464406).

Almost surely, 2^{2011120221011} is an apocalyptic number.

2011120221011 is a deficient number, since it is larger than the sum of its proper divisors (218795494237).

2011120221011 is a wasteful number, since it uses less digits than its factorization.

2011120221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997198613.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011120221011 its reverse (1101220211102), we get a palindrome (3112340432113).

Subtracting from 2011120221011 its reverse (1101220211102), we obtain a palindrome (909900009909).

The spelling of 2011120221011 in words is "two trillion, eleven billion, one hundred twenty million, two hundred twenty-one thousand, eleven".