100111111000101 has 12 divisors (see below), whose sum is σ = 144788680101312. Its totient is φ = 66655936671336.

The previous prime is 100111111000091. The next prime is 100111111000133. The reversal of 100111111000101 is 101000111111001.

It is not a de Polignac number, because 100111111000101 - 2⁷ = 100111110999973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111111000141) 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 11 ways as a sum of consecutive naturals, for example, 7066992141 + ... + 7067006306.

It is an arithmetic number, because the mean of its divisors is an integer number (12065723341776).

Almost surely, 2^{100111111000101} is an apocalyptic number.

It is an amenable number.

100111111000101 is a deficient number, since it is larger than the sum of its proper divisors (44677569101211).

100111111000101 is a wasteful number, since it uses less digits than its factorization.

100111111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133999240 (or 14133999237 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111111000101 its reverse (101000111111001), we get a palindrome (201111222111102).

The spelling of 100111111000101 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.