1100101110001 has 16 divisors (see below), whose sum is σ = 1136797763328. Its totient is φ = 1063998936000.

The previous prime is 1100101109993. The next prime is 1100101110019. The reversal of 1100101110001 is 1000111010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100101110001 - 2³ = 1100101109993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100101110091) 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, 37242700 + ... + 37272226.

It is an arithmetic number, because the mean of its divisors is an integer number (71049860208).

Almost surely, 2^{1100101110001} is an apocalyptic number.

It is an amenable number.

1100101110001 is a deficient number, since it is larger than the sum of its proper divisors (36696653327).

1100101110001 is an equidigital number, since it uses as much as digits as its factorization.

1100101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39552.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100101110001 its reverse (1000111010011), we get a palindrome (2100212120012).

It can be divided in two parts, 1100 and 101110001, that added together give a palindrome (101111101).

The spelling of 1100101110001 in words is "one trillion, one hundred billion, one hundred one million, one hundred ten thousand, one".