1001101000111 has 8 divisors (see below), whose sum is σ = 1002691639040. Its totient is φ = 999511396632.

The previous prime is 1001101000079. The next prime is 1001101000127. The reversal of 1001101000111 is 1110001011001.

It is a happy number.

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 1001101000111 - 2⁵ = 1001101000079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101000094 and 1001101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1687930 + ... + 2202568.

It is an arithmetic number, because the mean of its divisors is an integer number (125336454880).

Almost surely, 2^{1001101000111} is an apocalyptic number.

1001101000111 is a deficient number, since it is larger than the sum of its proper divisors (1590638929).

1001101000111 is an equidigital number, since it uses as much as digits as its factorization.

1001101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517725.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001101000111 its reverse (1110001011001), we get a palindrome (2111102011112).

The spelling of 1001101000111 in words is "one trillion, one billion, one hundred one million, one hundred eleven", and thus it is an aban number.