100111000101111 has 12 divisors (see below), whose sum is σ = 144606613499088. Its totient is φ = 66739819545504.

The previous prime is 100111000101089. The next prime is 100111000101143. The reversal of 100111000101111 is 111101000111001.

100111000101111 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100111000101111 - 2²² = 100110995906807 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 = 100111000101093 and 100111000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000181111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69850230 + ... + 71269043.

It is an arithmetic number, because the mean of its divisors is an integer number (12050551124924).

Almost surely, 2^{100111000101111} is an apocalyptic number.

100111000101111 is a deficient number, since it is larger than the sum of its proper divisors (44495613397977).

100111000101111 is a wasteful number, since it uses less digits than its factorization.

100111000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141198102 (or 141198099 counting only the distinct ones).

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

Adding to 100111000101111 its reverse (111101000111001), we get a palindrome (211212000212112).

The spelling of 100111000101111 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, one hundred eleven".