100110111010109 has 2 divisors, whose sum is σ = 100110111010110. Its totient is φ = 100110111010108.

The previous prime is 100110111010103. The next prime is 100110111010141. The reversal of 100110111010109 is 901010111011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78517267834009 + 21592843176100 = 8860997^2 + 4646810^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110111010109 - 2¹² = 100110111006013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110111010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055505054 + 50055055505055.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055505055).

Almost surely, 2^{100110111010109} is an apocalyptic number.

It is an amenable number.

100110111010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110111010109 is an equidigital number, since it uses as much as digits as its factorization.

100110111010109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 100110111010109 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, ten thousand, one hundred nine".