1101100002001 has 6 divisors (see below), whose sum is σ = 1169680625270. Its totient is φ = 1036329413376.

The previous prime is 1101100001941. The next prime is 1101100002007. The reversal of 1101100002001 is 1002000011011.

It can be written as a sum of positive squares in 3 ways, for example, as 93606014401 + 1007493987600 = 305951^2 + 1003740^2 .

It is not a de Polignac number, because 1101100002001 - 2¹¹ = 1101099999953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100002007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905017016 + ... + 1905017593.

Almost surely, 2^{1101100002001} is an apocalyptic number.

It is an amenable number.

1101100002001 is a deficient number, since it is larger than the sum of its proper divisors (68580623269).

1101100002001 is an equidigital number, since it uses as much as digits as its factorization.

1101100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810034643 (or 3810034626 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1101100002001 its reverse (1002000011011), we get a palindrome (2103100013012).

The spelling of 1101100002001 in words is "one trillion, one hundred one billion, one hundred million, two thousand, one".