100100111100111 has 12 divisors (see below), whose sum is σ = 144589136137992. Its totient is φ = 66733367351856.

The previous prime is 100100111100029. The next prime is 100100111100127. The reversal of 100100111100111 is 111001111001001.

100100111100111 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-100100111100111 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 = 100100111100093 and 100100111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111100151) 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, 27177760 + ... + 30640346.

It is an arithmetic number, because the mean of its divisors is an integer number (12049094678166).

Almost surely, 2^{100100111100111} is an apocalyptic number.

100100111100111 is a deficient number, since it is larger than the sum of its proper divisors (44489025037881).

100100111100111 is a wasteful number, since it uses less digits than its factorization.

100100111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674710 (or 6674707 counting only the distinct ones).

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

Adding to 100100111100111 its reverse (111001111001001), we get a palindrome (211101222101112).

It can be divided in two parts, 1001001 and 11100111, that multiplied together give a palindrome (11111222211111).

The spelling of 100100111100111 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred eleven".