1011000111111 has 6 divisors (see below), whose sum is σ = 1460333493840. Its totient is φ = 674000074068.

The previous prime is 1011000111091. The next prime is 1011000111137. The reversal of 1011000111111 is 1111110001101.

It is not a de Polignac number, because 1011000111111 - 2¹⁹ = 1010999586823 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: 112333345679 = 1011000111111 / (1 + 0 + 1 + 1 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1011000111093 and 1011000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000121111) 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 5 ways as a sum of consecutive naturals, for example, 56166672831 + ... + 56166672848.

It is an arithmetic number, because the mean of its divisors is an integer number (243388915640).

Almost surely, 2^{1011000111111} is an apocalyptic number.

1011000111111 is a deficient number, since it is larger than the sum of its proper divisors (449333382729).

1011000111111 is a wasteful number, since it uses less digits than its factorization.

1011000111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112333345685 (or 112333345682 counting only the distinct ones).

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

Adding to 1011000111111 its reverse (1111110001101), we get a palindrome (2122110112212).

The spelling of 1011000111111 in words is "one trillion, eleven billion, one hundred eleven thousand, one hundred eleven".