2011100100911 has 6 divisors (see below), whose sum is σ = 2210548044936. Its totient is φ = 1828272818900.

The previous prime is 2011100100787. The next prime is 2011100100913. The reversal of 2011100100911 is 1190010011102.

It is a happy number.

It is not a de Polignac number, because 2011100100911 - 2¹⁴ = 2011100084527 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011100100911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100100913) 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 5 ways as a sum of consecutive naturals, for example, 8310330875 + ... + 8310331116.

It is an arithmetic number, because the mean of its divisors is an integer number (368424674156).

Almost surely, 2^{2011100100911} is an apocalyptic number.

2011100100911 is a deficient number, since it is larger than the sum of its proper divisors (199447944025).

2011100100911 is a wasteful number, since it uses less digits than its factorization.

2011100100911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16620662013 (or 16620662002 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 2011100100911 in words is "two trillion, eleven billion, one hundred million, one hundred thousand, nine hundred eleven".