1100101111001 has 32 divisors (see below), whose sum is σ = 1204208640000. Its totient is φ = 1001739106368.

The previous prime is 1100101110973. The next prime is 1100101111007. The reversal of 1100101111001 is 1001111010011.

It is a cyclic number.

It is not a de Polignac number, because 1100101111001 - 2³⁰ = 1099027369177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100101111001.

It is not an unprimeable number, because it can be changed into a prime (1100101111007) 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, 39136850 + ... + 39164948.

It is an arithmetic number, because the mean of its divisors is an integer number (37631520000).

Almost surely, 2^{1100101111001} is an apocalyptic number.

It is an amenable number.

1100101111001 is a deficient number, since it is larger than the sum of its proper divisors (104107528999).

1100101111001 is a wasteful number, since it uses less digits than its factorization.

1100101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973.

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

Adding to 1100101111001 its reverse (1001111010011), we get a palindrome (2101212121012).

The spelling of 1100101111001 in words is "one trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one".