100111011101101 has 64 divisors (see below), whose sum is σ = 134720153358336. Its totient is φ = 71844509721600.

The previous prime is 100111011101093. The next prime is 100111011101107. The reversal of 100111011101101 is 101101110111001.

It is a happy number.

It is not a de Polignac number, because 100111011101101 - 2³ = 100111011101093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011101107) 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 63 ways as a sum of consecutive naturals, for example, 811361925 + ... + 811485301.

It is an arithmetic number, because the mean of its divisors is an integer number (2105002396224).

Almost surely, 2^{100111011101101} is an apocalyptic number.

100111011101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111011101101 is a deficient number, since it is larger than the sum of its proper divisors (34609142257235).

100111011101101 is a wasteful number, since it uses less digits than its factorization.

100111011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125242.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111011101101 its reverse (101101110111001), we get a palindrome (201212121212102).

The spelling of 100111011101101 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred one thousand, one hundred one".