101111109 has 12 divisors (see below), whose sum is σ = 148185408. Its totient is φ = 61279240.

The previous prime is 101111071. The next prime is 101111111. The reversal of 101111109 is 901111101.

It is not a de Polignac number, because 101111109 - 2⁷ = 101110981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111809) 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, 138909 + ... + 139634.

It is an arithmetic number, because the mean of its divisors is an integer number (12348784).

Almost surely, 2^101111109 is an apocalyptic number.

It is an amenable number.

101111109 is a deficient number, since it is larger than the sum of its proper divisors (47074299).

101111109 is a wasteful number, since it uses less digits than its factorization.

101111109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278568 (or 278557 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The square root of 101111109 is about 10055.4019810249. The cubic root of 101111109 is about 465.8716590456.

The spelling of 101111109 in words is "one hundred one million, one hundred eleven thousand, one hundred nine".