1100001100001 has 8 divisors (see below), whose sum is σ = 1101353970024. Its totient is φ = 1098648789120.

The previous prime is 1100001099973. The next prime is 1100001100021. The reversal of 1100001100001 is 1000011000011.

It can be written as a sum of positive squares in 4 ways, for example, as 366920947600 + 733080152401 = 605740^2 + 856201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100001100001 - 2³⁴ = 1082821230817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100001100021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3867611 + ... + 4142271.

It is an arithmetic number, because the mean of its divisors is an integer number (137669246253).

Almost surely, 2^{1100001100001} is an apocalyptic number.

It is an amenable number.

1100001100001 is a deficient number, since it is larger than the sum of its proper divisors (1352870023).

1100001100001 is a wasteful number, since it uses less digits than its factorization.

1100001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279571.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1100001100001 its reverse (1000011000011), we get a palindrome (2100012100012).

The spelling of 1100001100001 in words is "one trillion, one hundred billion, one million, one hundred thousand, one".