11111000101011 has 6 divisors (see below), whose sum is σ = 16049222368140. Its totient is φ = 7407333400668.

The previous prime is 11111000100971. The next prime is 11111000101027. The reversal of 11111000101011 is 11010100011111.

It is not a de Polignac number, because 11111000101011 - 2²⁹ = 11110463230099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1234555566779 = 11111000101011 / (1 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 11111000100984 and 11111000101002.

It is not an unprimeable number, because it can be changed into a prime (11111000101081) 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, 617277783381 + ... + 617277783398.

It is an arithmetic number, because the mean of its divisors is an integer number (2674870394690).

Almost surely, 2^{11111000101011} is an apocalyptic number.

11111000101011 is a deficient number, since it is larger than the sum of its proper divisors (4938222267129).

11111000101011 is a wasteful number, since it uses less digits than its factorization.

11111000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234555566785 (or 1234555566782 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111000101011 its reverse (11010100011111), we get a palindrome (22121100112122).

The spelling of 11111000101011 in words is "eleven trillion, one hundred eleven billion, one hundred one thousand, eleven".