1011111011111 has 8 divisors (see below), whose sum is σ = 1017962400000. Its totient is φ = 1004264827488.

The previous prime is 1011111011101. The next prime is 1011111011143. The reversal of 1011111011111 is 1111101111101.

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 1011111011111 - 2¹⁴ = 1011110994727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011111011092 and 1011111011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111011101) 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 7 ways as a sum of consecutive naturals, for example, 911111 + ... + 1688888.

It is an arithmetic number, because the mean of its divisors is an integer number (127245300000).

Almost surely, 2^{1011111011111} is an apocalyptic number.

1011111011111 is a deficient number, since it is larger than the sum of its proper divisors (6851388889).

1011111011111 is a wasteful number, since it uses less digits than its factorization.

1011111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602633.

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

Adding to 1011111011111 its reverse (1111101111101), we get a palindrome (2122212122212).

It can be divided in two parts, 101111101 and 1111, that multiplied together give a palindrome (112334433211).

The spelling of 1011111011111 in words is "one trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred eleven".