101111105109 has 32 divisors (see below), whose sum is σ = 165493120000. Its totient is φ = 54736828272.

The previous prime is 101111105089. The next prime is 101111105149. The reversal of 101111105109 is 901501111101.

It is a de Polignac number, because none of the positive numbers 2^k-101111105109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111105149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566279 + ... + 2605380.

It is an arithmetic number, because the mean of its divisors is an integer number (5171660000).

Almost surely, 2^101111105109 is an apocalyptic number.

101111105109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101111105109 is a deficient number, since it is larger than the sum of its proper divisors (64382014891).

101111105109 is an equidigital number, since it uses as much as digits as its factorization.

101111105109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171702 (or 5171688 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 21.

The spelling of 101111105109 in words is "one hundred one billion, one hundred eleven million, one hundred five thousand, one hundred nine".