100101010011093 has 96 divisors (see below), whose sum is σ = 178443015878400. Its totient is φ = 52656496588800.

The previous prime is 100101010011089. The next prime is 100101010011097. The reversal of 100101010011093 is 390110010101001.

It is an interprime number because it is at equal distance from previous prime (100101010011089) and next prime (100101010011097).

It is not a de Polignac number, because 100101010011093 - 2² = 100101010011089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010011097) 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 95 ways as a sum of consecutive naturals, for example, 1493944530 + ... + 1494011532.

It is an arithmetic number, because the mean of its divisors is an integer number (1858781415400).

Almost surely, 2^{100101010011093} is an apocalyptic number.

100101010011093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100101010011093 is a deficient number, since it is larger than the sum of its proper divisors (78342005867307).

100101010011093 is a wasteful number, since it uses less digits than its factorization.

100101010011093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71979 (or 71976 counting only the distinct ones).

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

Adding to 100101010011093 its reverse (390110010101001), we get a palindrome (490211020112094).

The spelling of 100101010011093 in words is "one hundred trillion, one hundred one billion, ten million, eleven thousand, ninety-three".