100111101101106 has 32 divisors (see below), whose sum is σ = 200732594128128. Its totient is φ = 33285310905600.

The previous prime is 100111101101087. The next prime is 100111101101107. The reversal of 100111101101106 is 601101101111001.

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 15 ways as a sum of consecutive naturals, for example, 42776935 + ... + 45056501.

It is an arithmetic number, because the mean of its divisors is an integer number (6272893566504).

Almost surely, 2^{100111101101106} is an apocalyptic number.

100111101101106 is an abundant number, since it is smaller than the sum of its proper divisors (100621493027022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111101101106 is a wasteful number, since it uses less digits than its factorization.

100111101101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298226.

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 100111101101106 its reverse (601101101111001), we get a palindrome (701212202212107).

The spelling of 100111101101106 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred six".