1100111000001 has 32 divisors (see below), whose sum is σ = 1634385029760. Its totient is φ = 653539697664.

The previous prime is 1100110999991. The next prime is 1100111000033. The reversal of 1100111000001 is 1000001110011.

It is not a de Polignac number, because 1100111000001 - 2²³ = 1100102611393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100111004001) 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, 7108690 + ... + 7261796.

It is an arithmetic number, because the mean of its divisors is an integer number (51074532180).

Almost surely, 2^{1100111000001} is an apocalyptic number.

It is an amenable number.

1100111000001 is a deficient number, since it is larger than the sum of its proper divisors (534274029759).

1100111000001 is a wasteful number, since it uses less digits than its factorization.

1100111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159505.

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

Adding to 1100111000001 its reverse (1000001110011), we get a palindrome (2100112110012).

It can be divided in two parts, 110011 and 1000001, that multiplied together give a palindrome (110011110011).

The spelling of 1100111000001 in words is "one trillion, one hundred billion, one hundred eleven million, one", and thus it is an aban number.