1001101000011 has 16 divisors (see below), whose sum is σ = 1525504871424. Its totient is φ = 572051101824.

The previous prime is 1001100999967. The next prime is 1001101000033. The reversal of 1001101000011 is 1100001011001.

It is not a de Polignac number, because 1001101000011 - 2¹⁸ = 1001100737867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001101040011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035150 + ... + 2478716.

It is an arithmetic number, because the mean of its divisors is an integer number (95344054464).

Almost surely, 2^{1001101000011} is an apocalyptic number.

1001101000011 is a deficient number, since it is larger than the sum of its proper divisors (524403871413).

1001101000011 is a wasteful number, since it uses less digits than its factorization.

1001101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551050.

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

Adding to 1001101000011 its reverse (1100001011001), we get a palindrome (2101102011012).

The spelling of 1001101000011 in words is "one trillion, one billion, one hundred one million, eleven", and thus it is an aban number.