101110110093 has 24 divisors (see below), whose sum is σ = 147583232888. Its totient is φ = 66698422272.

The previous prime is 101110110083. The next prime is 101110110097. The reversal of 101110110093 is 390011011101.

It can be written as a sum of positive squares in 4 ways, for example, as 25382225124 + 75727884969 = 159318^2 + 275187^2 .

It is not a de Polignac number, because 101110110093 - 2¹⁰ = 101110109069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110097) 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, 6288921 + ... + 6304977.

Almost surely, 2^101110110093 is an apocalyptic number.

It is an amenable number.

101110110093 is a deficient number, since it is larger than the sum of its proper divisors (46473122795).

101110110093 is a wasteful number, since it uses less digits than its factorization.

101110110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23373 (or 23370 counting only the distinct ones).

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

Adding to 101110110093 its reverse (390011011101), we get a palindrome (491121121194).

The spelling of 101110110093 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, ninety-three".