1011111111111 has 48 divisors (see below), whose sum is σ = 1570750755840. Its totient is φ = 574899874560.

The previous prime is 1011111111083. The next prime is 1011111111121. The reversal of 1011111111111 is 1111111111101.

It is not a de Polignac number, because 1011111111111 - 2²⁵ = 1011077556679 is a prime.

1011111111111 is a modest number, since divided by 1111111 gives 101111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473655 + ... + 1498856.

It is an arithmetic number, because the mean of its divisors is an integer number (32723974080).

Almost surely, 2^{1011111111111} is an apocalyptic number.

1011111111111 is a deficient number, since it is larger than the sum of its proper divisors (559639644729).

1011111111111 is a wasteful number, since it uses less digits than its factorization.

1011111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972596 (or 1972573 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 1011111111111 its reverse (1111111111101), we get a palindrome (2122222222212).

It can be divided in two parts, 101 and 1111111111, that multiplied together give a palindrome (112222222211).

The spelling of 1011111111111 in words is "one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".