100100111001111 has 36 divisors (see below), whose sum is σ = 156969326662200. Its totient is φ = 61441713013824.

The previous prime is 100100111001061. The next prime is 100100111001151. The reversal of 100100111001111 is 111100111001001.

It is not a de Polignac number, because 100100111001111 - 2⁷ = 100100111000983 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 = 100100111001093 and 100100111001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111001151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83999641 + ... + 85182978.

It is an arithmetic number, because the mean of its divisors is an integer number (4360259073950).

Almost surely, 2^{100100111001111} is an apocalyptic number.

100100111001111 is a deficient number, since it is larger than the sum of its proper divisors (56869215661089).

100100111001111 is a wasteful number, since it uses less digits than its factorization.

100100111001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169183040 (or 169183024 counting only the distinct ones).

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

Adding to 100100111001111 its reverse (111100111001001), we get a palindrome (211200222002112).

The spelling of 100100111001111 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one thousand, one hundred eleven".