1001116101 has 12 divisors (see below), whose sum is σ = 1395382688. Its totient is φ = 638391864.

The previous prime is 1001116073. The next prime is 1001116133. The reversal of 1001116101 is 1016111001.

It is not a de Polignac number, because 1001116101 - 2⁹ = 1001115589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001116901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313825 + ... + 316998.

Almost surely, 2^1001116101 is an apocalyptic number.

It is an amenable number.

1001116101 is a deficient number, since it is larger than the sum of its proper divisors (394266587).

1001116101 is an equidigital number, since it uses as much as digits as its factorization.

1001116101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630872 (or 630849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1001116101 is about 31640.4187867354. The cubic root of 1001116101 is about 1000.3718953434.

Adding to 1001116101 its reverse (1016111001), we get a palindrome (2017227102).

The spelling of 1001116101 in words is "one billion, one million, one hundred sixteen thousand, one hundred one".