1001100111093 has 12 divisors (see below), whose sum is σ = 1531094287788. Its totient is φ = 628141246080.

The previous prime is 1001100111079. The next prime is 1001100111107. The reversal of 1001100111093 is 3901110011001.

It is an interprime number because it is at equal distance from previous prime (1001100111079) and next prime (1001100111107).

It can be written as a sum of positive squares in 2 ways, for example, as 423465150564 + 577634960529 = 650742^2 + 760023^2 .

It is not a de Polignac number, because 1001100111093 - 2⁶ = 1001100111029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100119093) 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 11 ways as a sum of consecutive naturals, for example, 3271568838 + ... + 3271569143.

It is an arithmetic number, because the mean of its divisors is an integer number (127591190649).

Almost surely, 2^{1001100111093} is an apocalyptic number.

It is an amenable number.

1001100111093 is a deficient number, since it is larger than the sum of its proper divisors (529994176695).

1001100111093 is a wasteful number, since it uses less digits than its factorization.

1001100111093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543138004 (or 6543138001 counting only the distinct ones).

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

Adding to 1001100111093 its reverse (3901110011001), we get a palindrome (4902210122094).

The spelling of 1001100111093 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, ninety-three".