100000110001001 has 20 divisors (see below), whose sum is σ = 116662847853252. Its totient is φ = 85712179898016.

The previous prime is 100000110000979. The next prime is 100000110001139. The reversal of 100000110001001 is 100100011000001.

It can be written as a sum of positive squares in 2 ways, for example, as 63823481881600 + 36176628119401 = 7988960^2 + 6014701^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100000110001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000110001201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96709415 + ... + 97737971.

Almost surely, 2^{100000110001001} is an apocalyptic number.

It is an amenable number.

100000110001001 is a deficient number, since it is larger than the sum of its proper divisors (16662737852251).

100000110001001 is an frugal number, since it uses more digits than its factorization.

100000110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069078 (or 1069057 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000110001001 its reverse (100100011000001), we get a palindrome (200100121001002).

The spelling of 100000110001001 in words is "one hundred trillion, one hundred ten million, one thousand, one".