100100101105 has 4 divisors (see below), whose sum is σ = 120120121332. Its totient is φ = 80080080880.

The previous prime is 100100101051. The next prime is 100100101111. The reversal of 100100101105 is 501101001001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 74018820096 + 26081281009 = 272064^2 + 161497^2 .

It is not a de Polignac number, because 100100101105 - 2¹⁵ = 100100068337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100101091 and 100100101100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10010010106 + ... + 10010010115.

It is an arithmetic number, because the mean of its divisors is an integer number (30030030333).

Almost surely, 2^100100101105 is an apocalyptic number.

It is an amenable number.

100100101105 is a deficient number, since it is larger than the sum of its proper divisors (20020020227).

100100101105 is an equidigital number, since it uses as much as digits as its factorization.

100100101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020020226.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100100101105 its reverse (501101001001), we get a palindrome (601201102106).

The spelling of 100100101105 in words is "one hundred billion, one hundred million, one hundred one thousand, one hundred five".