1101111000093 has 48 divisors (see below), whose sum is σ = 1749533700096. Its totient is φ = 663094460160.

The previous prime is 1101111000001. The next prime is 1101111000109. The reversal of 1101111000093 is 3900001111011.

It is not a de Polignac number, because 1101111000093 - 2⁸ = 1101110999837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111001093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65413188 + ... + 65430018.

It is an arithmetic number, because the mean of its divisors is an integer number (36448618752).

Almost surely, 2^{1101111000093} is an apocalyptic number.

1101111000093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1101111000093 is a deficient number, since it is larger than the sum of its proper divisors (648422700003).

1101111000093 is a wasteful number, since it uses less digits than its factorization.

1101111000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 28791 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 1101111000093 in words is "one trillion, one hundred one billion, one hundred eleven million, ninety-three", and thus it is an aban number.