1100116101 has 12 divisors (see below), whose sum is σ = 1706302752. Its totient is φ = 628637688.

The previous prime is 1100116067. The next prime is 1100116211. The reversal of 1100116101 is 1016110011.

It is not a de Polignac number, because 1100116101 - 2⁹ = 1100115589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100118101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3741745 + ... + 3742038.

It is an arithmetic number, because the mean of its divisors is an integer number (142191896).

Almost surely, 2^1100116101 is an apocalyptic number.

It is an amenable number.

1100116101 is a deficient number, since it is larger than the sum of its proper divisors (606186651).

1100116101 is an equidigital number, since it uses as much as digits as its factorization.

1100116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483800 (or 7483793 counting only the distinct ones).

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

The square root of 1100116101 is about 33167.9981458031. The cubic root of 1100116101 is about 1032.3164319829.

Adding to 1100116101 its reverse (1016110011), we get a palindrome (2116226112).

The spelling of 1100116101 in words is "one billion, one hundred million, one hundred sixteen thousand, one hundred one".