2011102112011 has 8 divisors (see below), whose sum is σ = 2041153002560. Its totient is φ = 1981052234568.

The previous prime is 2011102111973. The next prime is 2011102112023. The reversal of 2011102112011 is 1102112011102.

It is a happy number.

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 2011102112011 - 2¹¹ = 2011102109963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011102111982 and 2011102112000.

It is not an unprimeable number, because it can be changed into a prime (2011102112051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4373140 + ... + 4811086.

It is an arithmetic number, because the mean of its divisors is an integer number (255144125320).

Almost surely, 2^{2011102112011} is an apocalyptic number.

2011102112011 is a deficient number, since it is larger than the sum of its proper divisors (30050890549).

2011102112011 is an equidigital number, since it uses as much as digits as its factorization.

2011102112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506553.

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

Adding to 2011102112011 its reverse (1102112011102), we get a palindrome (3113214123113).

The spelling of 2011102112011 in words is "two trillion, eleven billion, one hundred two million, one hundred twelve thousand, eleven".