1000110011001 has 16 divisors (see below), whose sum is σ = 1361613670464. Its totient is φ = 652806514944.

The previous prime is 1000110010997. The next prime is 1000110011051. The reversal of 1000110011001 is 1001100110001.

It is not a de Polignac number, because 1000110011001 - 2² = 1000110010997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000110011051) 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 15 ways as a sum of consecutive naturals, for example, 16636831 + ... + 16696836.

It is an arithmetic number, because the mean of its divisors is an integer number (85100854404).

Almost surely, 2^{1000110011001} is an apocalyptic number.

It is an amenable number.

1000110011001 is a deficient number, since it is larger than the sum of its proper divisors (361503659463).

1000110011001 is a wasteful number, since it uses less digits than its factorization.

1000110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333880.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000110011001 its reverse (1001100110001), we get a palindrome (2001210121002).

It can be divided in two parts, 10001 and 10011001, that multiplied together give a palindrome (100120021001).

The spelling of 1000110011001 in words is "one trillion, one hundred ten million, eleven thousand, one".