100111101101105 has 32 divisors (see below), whose sum is σ = 131102729223840. Its totient is φ = 73079534223360.

The previous prime is 100111101101087. The next prime is 100111101101107. The reversal of 100111101101105 is 501101101111001.

It can be written as a sum of positive squares in 16 ways, for example, as 131020109089 + 99980080992016 = 361967^2 + 9999004^2 .

It is not a de Polignac number, because 100111101101105 - 2¹⁴ = 100111101084721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111101101105.

It is not an unprimeable number, because it can be changed into a prime (100111101101107) 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 31 ways as a sum of consecutive naturals, for example, 55756520 + ... + 57524009.

It is an arithmetic number, because the mean of its divisors is an integer number (4096960288245).

Almost surely, 2^{100111101101105} is an apocalyptic number.

It is an amenable number.

100111101101105 is a deficient number, since it is larger than the sum of its proper divisors (30991628122735).

100111101101105 is a wasteful number, since it uses less digits than its factorization.

100111101101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113280869.

The product of its (nonzero) digits is 5, while the sum is 14.

Adding to 100111101101105 its reverse (501101101111001), we get a palindrome (601212202212106).

The spelling of 100111101101105 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred five".