100011110011001 has 16 divisors (see below), whose sum is σ = 116631513600000. Its totient is φ = 85723454666304.

The previous prime is 100011110010941. The next prime is 100011110011009. The reversal of 100011110011001 is 100110011110001.

It is not a de Polignac number, because 100011110011001 - 2³⁸ = 99736232104057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011110011001.

It is not an unprimeable number, because it can be changed into a prime (100011110011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114813761 + ... + 115681553.

It is an arithmetic number, because the mean of its divisors is an integer number (7289469600000).

Almost surely, 2^{100011110011001} is an apocalyptic number.

It is an amenable number.

100011110011001 is a deficient number, since it is larger than the sum of its proper divisors (16620403588999).

100011110011001 is an frugal number, since it uses more digits than its factorization.

100011110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203813 (or 1203799 counting only the distinct ones).

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

Adding to 100011110011001 its reverse (100110011110001), we get a palindrome (200121121121002).

The spelling of 100011110011001 in words is "one hundred trillion, eleven billion, one hundred ten million, eleven thousand, one".