100111001111001 has 20 divisors (see below), whose sum is σ = 149558617828224. Its totient is φ = 66736166527800.

The previous prime is 100111001110937. The next prime is 100111001111021. The reversal of 100111001111001 is 100111100111001.

It is not a de Polignac number, because 100111001111001 - 2⁶ = 100111001110937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100111001111021) 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 19 ways as a sum of consecutive naturals, for example, 40466085 + ... + 42868706.

Almost surely, 2^{100111001111001} is an apocalyptic number.

It is an amenable number.

100111001111001 is a deficient number, since it is larger than the sum of its proper divisors (49447616717223).

100111001111001 is an equidigital number, since it uses as much as digits as its factorization.

100111001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83349634 (or 83349625 counting only the distinct ones).

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

Adding to 100111001111001 its reverse (100111100111001), we get a palindrome (200222101222002).

It can be divided in two parts, 1001110011 and 11001, that multiplied together give a palindrome (11013211231011).

The spelling of 100111001111001 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred eleven thousand, one".