100001100110093 has 12 divisors (see below), whose sum is σ = 125276103435420. Its totient is φ = 79121749537152.

The previous prime is 100001100110069. The next prime is 100001100110099. The reversal of 100001100110093 is 390011001100001.

It can be written as a sum of positive squares in 2 ways, for example, as 41237177737924 + 58763922372169 = 6421618^2 + 7665763^2 .

It is not a de Polignac number, because 100001100110093 - 2¹⁶ = 100001100044557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100110099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78493798508 + ... + 78493799781.

It is an arithmetic number, because the mean of its divisors is an integer number (10439675286285).

Almost surely, 2^{100001100110093} is an apocalyptic number.

100001100110093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100001100110093 is a deficient number, since it is larger than the sum of its proper divisors (25275003325327).

100001100110093 is a wasteful number, since it uses less digits than its factorization.

100001100110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156987598316 (or 156987598309 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 100001100110093 its reverse (390011001100001), we get a palindrome (490012101210094).

The spelling of 100001100110093 in words is "one hundred trillion, one billion, one hundred million, one hundred ten thousand, ninety-three".