2011011002011 has 32 divisors (see below), whose sum is σ = 2379411998208. Its totient is φ = 1680942954240.

The previous prime is 2011011002009. The next prime is 2011011002041. The reversal of 2011011002011 is 1102001101102.

It is not a de Polignac number, because 2011011002011 - 2¹ = 2011011002009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011011002041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517186 + ... + 2071111.

It is an arithmetic number, because the mean of its divisors is an integer number (74356624944).

Almost surely, 2^{2011011002011} is an apocalyptic number.

2011011002011 is a deficient number, since it is larger than the sum of its proper divisors (368400996197).

2011011002011 is a wasteful number, since it uses less digits than its factorization.

2011011002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588451.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011011002011 its reverse (1102001101102), we get a palindrome (3113012103113).

Subtracting from 2011011002011 its reverse (1102001101102), we obtain a palindrome (909009900909).

The spelling of 2011011002011 in words is "two trillion, eleven billion, eleven million, two thousand, eleven".