1100002000001 has 8 divisors (see below), whose sum is σ = 1121760178344. Its totient is φ = 1078280985600.

The previous prime is 1100001999947. The next prime is 1100002000039. The reversal of 1100002000001 is 1000002000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50762343025 + 1049239656976 = 225305^2 + 1024324^2 .

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 1100002000001 - 2³⁰ = 1098928258177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100002000081) 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, 9231200 + ... + 9349601.

It is an arithmetic number, because the mean of its divisors is an integer number (140220022293).

Almost surely, 2^{1100002000001} is an apocalyptic number.

It is an amenable number.

1100002000001 is a deficient number, since it is larger than the sum of its proper divisors (21758178343).

1100002000001 is a wasteful number, since it uses less digits than its factorization.

1100002000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18581971.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1100002000001 its reverse (1000002000011), we get a palindrome (2100004000012).

The spelling of 1100002000001 in words is "one trillion, one hundred billion, two million, one", and thus it is an aban number.