1100101100001 has 32 divisors (see below), whose sum is σ = 1524729292800. Its totient is φ = 705054943296.

The previous prime is 1100101099897. The next prime is 1100101100041. The reversal of 1100101100001 is 1000011010011.

It is not a de Polignac number, because 1100101100001 - 2¹⁴ = 1100101083617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100101100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130170 + ... + 3463836.

It is an arithmetic number, because the mean of its divisors is an integer number (47647790400).

Almost surely, 2^{1100101100001} is an apocalyptic number.

It is an amenable number.

1100101100001 is a deficient number, since it is larger than the sum of its proper divisors (424628192799).

1100101100001 is a wasteful number, since it uses less digits than its factorization.

1100101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334133.

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

Adding to 1100101100001 its reverse (1000011010011), we get a palindrome (2100112110012).

It can be divided in two parts, 1100 and 101100001, that added together give a palindrome (101101101).

The spelling of 1100101100001 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, one".