100110001909 has 2 divisors, whose sum is σ = 100110001910. Its totient is φ = 100110001908.

The previous prime is 100110001853. The next prime is 100110001921. The reversal of 100110001909 is 909100011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76029790225 + 24080211684 = 275735^2 + 155178^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001909 - 2¹³ = 100109993717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110001909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110001009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000954 + 50055000955.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000955).

Almost surely, 2^100110001909 is an apocalyptic number.

It is an amenable number.

100110001909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001909 is an equidigital number, since it uses as much as digits as its factorization.

100110001909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 100110001909 in words is "one hundred billion, one hundred ten million, one thousand, nine hundred nine".