1011011111111 has 8 divisors (see below), whose sum is σ = 1021019779584. Its totient is φ = 1001012812600.

The previous prime is 1011011111087. The next prime is 1011011111137. The reversal of 1011011111111 is 1111111101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011011111111 - 2²² = 1011006916807 is a prime.

It is a Duffinian number.

1011011111111 is a modest number, since divided by 1111111 gives 101101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1011011111092 and 1011011111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011111191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2396465 + ... + 2786586.

It is an arithmetic number, because the mean of its divisors is an integer number (127627472448).

Almost surely, 2^{1011011111111} is an apocalyptic number.

1011011111111 is a deficient number, since it is larger than the sum of its proper divisors (10008668473).

1011011111111 is a wasteful number, since it uses less digits than its factorization.

1011011111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184981.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 1011011111111 its reverse (1111111101101), we get a palindrome (2122122212212).

It can be divided in two parts, 101101 and 1111111, that multiplied together give a palindrome (112334433211).

The spelling of 1011011111111 in words is "one trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred eleven".