2011002101011 has 24 divisors (see below), whose sum is σ = 2115986680080. Its totient is φ = 1911008062656.

The previous prime is 2011002100969. The next prime is 2011002101021. The reversal of 2011002101011 is 1101012001102.

It is a de Polignac number, because none of the positive numbers 2^k-2011002101011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011002101021) 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 23 ways as a sum of consecutive naturals, for example, 105760341 + ... + 105779353.

It is an arithmetic number, because the mean of its divisors is an integer number (88166111670).

Almost surely, 2^{2011002101011} is an apocalyptic number.

2011002101011 is a deficient number, since it is larger than the sum of its proper divisors (104984579069).

2011002101011 is a wasteful number, since it uses less digits than its factorization.

2011002101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20332 counting only the distinct ones).

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

Adding to 2011002101011 its reverse (1101012001102), we get a palindrome (3112014102113).

Subtracting from 2011002101011 its reverse (1101012001102), we obtain a palindrome (909990099909).

The spelling of 2011002101011 in words is "two trillion, eleven billion, two million, one hundred one thousand, eleven".