2011112201011 has 4 divisors (see below), whose sum is σ = 2011634436024. Its totient is φ = 2010589966000.

The previous prime is 2011112201009. The next prime is 2011112201083. The reversal of 2011112201011 is 1101022111102.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 2011112201011 - 2¹ = 2011112201009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011112200982 and 2011112201000.

It is not an unprimeable number, because it can be changed into a prime (2011112201311) 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 3 ways as a sum of consecutive naturals, for example, 261111730 + ... + 261119431.

It is an arithmetic number, because the mean of its divisors is an integer number (502908609006).

Almost surely, 2^{2011112201011} is an apocalyptic number.

2011112201011 is a deficient number, since it is larger than the sum of its proper divisors (522235013).

2011112201011 is an equidigital number, since it uses as much as digits as its factorization.

2011112201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522235012.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011112201011 its reverse (1101022111102), we get a palindrome (3112134312113).

The spelling of 2011112201011 in words is "two trillion, eleven billion, one hundred twelve million, two hundred one thousand, eleven".