100110111093 has 12 divisors (see below), whose sum is σ = 144822267148. Its totient is φ = 66639101760.

The previous prime is 100110111091. The next prime is 100110111109. The reversal of 100110111093 is 390111011001.

It can be written as a sum of positive squares in 2 ways, for example, as 64870561809 + 35239549284 = 254697^2 + 187722^2 .

It is not a de Polignac number, because 100110111093 - 2¹ = 100110111091 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111091) 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 11 ways as a sum of consecutive naturals, for example, 8408080 + ... + 8419977.

Almost surely, 2^100110111093 is an apocalyptic number.

It is an amenable number.

100110111093 is a deficient number, since it is larger than the sum of its proper divisors (44712156055).

100110111093 is a wasteful number, since it uses less digits than its factorization.

100110111093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828724 (or 16828721 counting only the distinct ones).

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

Adding to 100110111093 its reverse (390111011001), we get a palindrome (490221122094).

The spelling of 100110111093 in words is "one hundred billion, one hundred ten million, one hundred eleven thousand, ninety-three".