100111000109 has 2 divisors, whose sum is σ = 100111000110. Its totient is φ = 100111000108.

The previous prime is 100111000097. The next prime is 100111000127. The reversal of 100111000109 is 901000111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86978986084 + 13132014025 = 294922^2 + 114595^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000109 - 2⁸ = 100110999853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111000093 and 100111000102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111000169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500054 + 50055500055.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500055).

Almost surely, 2^100111000109 is an apocalyptic number.

It is an amenable number.

100111000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000109 is an equidigital number, since it uses as much as digits as its factorization.

100111000109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100111000109 in words is "one hundred billion, one hundred eleven million, one hundred nine", and thus it is an aban number.