100111001001101 has 8 divisors (see below), whose sum is σ = 100126032271200. Its totient is φ = 100095970861072.

The previous prime is 100111001001079. The next prime is 100111001001133. The reversal of 100111001001101 is 101100100111001.

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 100111001001101 - 2¹⁴ = 100111000984717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001001901) 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 7 ways as a sum of consecutive naturals, for example, 186014471 + ... + 186551883.

It is an arithmetic number, because the mean of its divisors is an integer number (12515754033900).

Almost surely, 2^{100111001001101} is an apocalyptic number.

It is an amenable number.

100111001001101 is a deficient number, since it is larger than the sum of its proper divisors (15031270099).

100111001001101 is a wasteful number, since it uses less digits than its factorization.

100111001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565035.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111001001101 its reverse (101100100111001), we get a palindrome (201211101112102).

The spelling of 100111001001101 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, one hundred one".