100111000100009 has 4 divisors (see below), whose sum is σ = 100111195560660. Its totient is φ = 100110804639360.

The previous prime is 100111000099937. The next prime is 100111000100047. The reversal of 100111000100009 is 900001000111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87175087297600 + 12935912802409 = 9336760^2 + 3596653^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000100009 - 2¹² = 100111000095913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111000099966 and 100111000100002.

It is not an unprimeable number, because it can be changed into a prime (100111000109009) 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 3 ways as a sum of consecutive naturals, for example, 96960032 + ... + 97987089.

It is an arithmetic number, because the mean of its divisors is an integer number (25027798890165).

Almost surely, 2^{100111000100009} is an apocalyptic number.

It is an amenable number.

100111000100009 is a deficient number, since it is larger than the sum of its proper divisors (195460651).

100111000100009 is an equidigital number, since it uses as much as digits as its factorization.

100111000100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195460650.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100111000100009 in words is "one hundred trillion, one hundred eleven billion, one hundred thousand, nine".