1101111001001 has 32 divisors (see below), whose sum is σ = 1351095292800. Its totient is φ = 884352660480.

The previous prime is 1101111000929. The next prime is 1101111001021. The reversal of 1101111001001 is 1001001111011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101111001001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101111001001.

It is not an unprimeable number, because it can be changed into a prime (1101111001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034330 + ... + 1808883.

It is an arithmetic number, because the mean of its divisors is an integer number (42221727900).

Almost surely, 2^{1101111001001} is an apocalyptic number.

1101111001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101111001001 is a deficient number, since it is larger than the sum of its proper divisors (249984291799).

1101111001001 is a wasteful number, since it uses less digits than its factorization.

1101111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843369.

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

Adding to 1101111001001 its reverse (1001001111011), we get a palindrome (2102112112012).

It can be divided in two parts, 110 and 1111001001, that added together give a palindrome (1111001111).

The spelling of 1101111001001 in words is "one trillion, one hundred one billion, one hundred eleven million, one thousand, one".