1001100000011 has 32 divisors (see below), whose sum is σ = 1075333625856. Its totient is φ = 929662272000.

The previous prime is 1001100000001. The next prime is 1001100000037. The reversal of 1001100000011 is 1100000011001.

It is a cyclic number.

It is not a de Polignac number, because 1001100000011 - 2³⁴ = 983920130827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001099999950 and 1001100000004.

It is not an unprimeable number, because it can be changed into a prime (1001100000001) 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, 280339856 + ... + 280343426.

It is an arithmetic number, because the mean of its divisors is an integer number (33604175808).

Almost surely, 2^{1001100000011} is an apocalyptic number.

1001100000011 is a deficient number, since it is larger than the sum of its proper divisors (74233625845).

1001100000011 is a wasteful number, since it uses less digits than its factorization.

1001100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003.

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

Adding to 1001100000011 its reverse (1100000011001), we get a palindrome (2101100011012).

The spelling of 1001100000011 in words is "one trillion, one billion, one hundred million, eleven", and thus it is an aban number.