1011000112111 has 16 divisors (see below), whose sum is σ = 1113077988000. Its totient is φ = 910623006720.

The previous prime is 1011000112081. The next prime is 1011000112117. The reversal of 1011000112111 is 1112110001101.

It is a cyclic number.

It is not a de Polignac number, because 1011000112111 - 2⁹ = 1011000111599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000112117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3269071 + ... + 3564943.

It is an arithmetic number, because the mean of its divisors is an integer number (69567374250).

Almost surely, 2^{1011000112111} is an apocalyptic number.

1011000112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011000112111 is a deficient number, since it is larger than the sum of its proper divisors (102077875889).

1011000112111 is a wasteful number, since it uses less digits than its factorization.

1011000112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298746.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011000112111 its reverse (1112110001101), we get a palindrome (2123110113212).

The spelling of 1011000112111 in words is "one trillion, eleven billion, one hundred twelve thousand, one hundred eleven".