100001010001111 has 8 divisors (see below), whose sum is σ = 100357703326944. Its totient is φ = 99644322476160.

The previous prime is 100001010001099. The next prime is 100001010001117. The reversal of 100001010001111 is 111100010100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001010001111 - 2⁹ = 100001010000599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001010001094 and 100001010001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010001117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34692550 + ... + 37464316.

It is an arithmetic number, because the mean of its divisors is an integer number (12544712915868).

Almost surely, 2^{100001010001111} is an apocalyptic number.

100001010001111 is a deficient number, since it is larger than the sum of its proper divisors (356693325833).

100001010001111 is a wasteful number, since it uses less digits than its factorization.

100001010001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900441.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001010001111 its reverse (111100010100001), we get a palindrome (211101020101112).

The spelling of 100001010001111 in words is "one hundred trillion, one billion, ten million, one thousand, one hundred eleven".