1101112111011 has 24 divisors (see below), whose sum is σ = 1613933430592. Its totient is φ = 667265266800.

The previous prime is 1101112110979. The next prime is 1101112111037.

1101112111011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1101112111011 - 2⁵ = 1101112110979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101112111061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133200 + ... + 3466866.

Almost surely, 2^{1101112111011} is an apocalyptic number.

1101112111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101112111011 is a deficient number, since it is larger than the sum of its proper divisors (512821319581).

1101112111011 is a wasteful number, since it uses less digits than its factorization.

1101112111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342783 (or 342772 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

The spelling of 1101112111011 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, eleven".