100100110011093 has 48 divisors (see below), whose sum is σ = 150501463295040. Its totient is φ = 64034199129600.

The previous prime is 100100110011047. The next prime is 100100110011107. The reversal of 100100110011093 is 390110011001001.

It is not a de Polignac number, because 100100110011093 - 2⁸ = 100100110010837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29263830 + ... + 32504952.

It is an arithmetic number, because the mean of its divisors is an integer number (3135447151980).

Almost surely, 2^{100100110011093} is an apocalyptic number.

It is an amenable number.

100100110011093 is a deficient number, since it is larger than the sum of its proper divisors (50401353283947).

100100110011093 is a wasteful number, since it uses less digits than its factorization.

100100110011093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241890 (or 3241887 counting only the distinct ones).

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

Adding to 100100110011093 its reverse (390110011001001), we get a palindrome (490210121012094).

The spelling of 100100110011093 in words is "one hundred trillion, one hundred billion, one hundred ten million, eleven thousand, ninety-three".