2011100100011 has 4 divisors (see below), whose sum is σ = 2129400105912. Its totient is φ = 1892800094112.

The previous prime is 2011100099927. The next prime is 2011100100029. The reversal of 2011100100011 is 1100010011102.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011100100011 is a prime.

It is a super-2 number, since 2×2011100100011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011100100311) 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, 59150002925 + ... + 59150002958.

It is an arithmetic number, because the mean of its divisors is an integer number (532350026478).

Almost surely, 2^{2011100100011} is an apocalyptic number.

2011100100011 is a deficient number, since it is larger than the sum of its proper divisors (118300005901).

2011100100011 is a wasteful number, since it uses less digits than its factorization.

2011100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118300005900.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2011100100011 its reverse (1100010011102), we get a palindrome (3111110111113).

The spelling of 2011100100011 in words is "two trillion, eleven billion, one hundred million, one hundred thousand, eleven".