100111101109 has 16 divisors (see below), whose sum is σ = 100942479792. Its totient is φ = 99284410368.

The previous prime is 100111101107. The next prime is 100111101127. The reversal of 100111101109 is 901101111001.

It can be written as a sum of positive squares in 8 ways, for example, as 6162721009 + 93948380100 = 78503^2 + 306510^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111101109 - 2¹ = 100111101107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101092 and 100111101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96912457 + ... + 96913489.

It is an arithmetic number, because the mean of its divisors is an integer number (6308904987).

Almost surely, 2^100111101109 is an apocalyptic number.

It is an amenable number.

100111101109 is a deficient number, since it is larger than the sum of its proper divisors (831378683).

100111101109 is a wasteful number, since it uses less digits than its factorization.

100111101109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100111101109 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred nine".