100001101101111 has 24 divisors (see below), whose sum is σ = 165081639026304. Its totient is φ = 57143328408720.

The previous prime is 100001101101103. The next prime is 100001101101133. The reversal of 100001101101111 is 111101101100001.

It is not a de Polignac number, because 100001101101111 - 2³ = 100001101101103 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100001101101093 and 100001101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23073556 + ... + 27062726.

It is an arithmetic number, because the mean of its divisors is an integer number (6878401626096).

Almost surely, 2^{100001101101111} is an apocalyptic number.

100001101101111 is a deficient number, since it is larger than the sum of its proper divisors (65080537925193).

100001101101111 is a wasteful number, since it uses less digits than its factorization.

100001101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387091 (or 4387088 counting only the distinct ones).

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

Adding to 100001101101111 its reverse (111101101100001), we get a palindrome (211102202201112).

The spelling of 100001101101111 in words is "one hundred trillion, one billion, one hundred one million, one hundred one thousand, one hundred eleven".