11000000010111 has 16 divisors (see below), whose sum is σ = 16762105092864. Its totient is φ = 6285639173184.

The previous prime is 11000000010061. The next prime is 11000000010119. The reversal of 11000000010111 is 11101000000011.

It is not a de Polignac number, because 11000000010111 - 2¹⁰ = 11000000009087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000000010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000010119) 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 15 ways as a sum of consecutive naturals, for example, 1306150 + ... + 4868883.

It is an arithmetic number, because the mean of its divisors is an integer number (1047631568304).

Almost surely, 2^{11000000010111} is an apocalyptic number.

11000000010111 is a deficient number, since it is larger than the sum of its proper divisors (5762105082753).

11000000010111 is an equidigital number, since it uses as much as digits as its factorization.

11000000010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259870.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000000010111 its reverse (11101000000011), we get a palindrome (22101000010122).

The spelling of 11000000010111 in words is "eleven trillion, ten thousand, one hundred eleven".