100101101113 has 16 divisors (see below), whose sum is σ = 109883175696. Its totient is φ = 90617978880.

The previous prime is 100101101059. The next prime is 100101101117. The reversal of 100101101113 is 311101101001.

It can be written as a sum of positive squares in 8 ways, for example, as 20217427344 + 79883673769 = 142188^2 + 282637^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100101101113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101101113.

It is not an unprimeable number, because it can be changed into a prime (100101101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607193 + ... + 1668313.

It is an arithmetic number, because the mean of its divisors is an integer number (6867698481).

Almost surely, 2^100101101113 is an apocalyptic number.

100101101113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100101101113 is a deficient number, since it is larger than the sum of its proper divisors (9782074583).

100101101113 is a wasteful number, since it uses less digits than its factorization.

100101101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63564.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100101101113 its reverse (311101101001), we get a palindrome (411202202114).

The spelling of 100101101113 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred thirteen".