100110001009 has 2 divisors, whose sum is σ = 100110001010. Its totient is φ = 100110001008.

The previous prime is 100110001003. The next prime is 100110001051. The reversal of 100110001009 is 900100011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82385072784 + 17724928225 = 287028^2 + 133135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001009 - 2¹⁵ = 100109968241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110001009.

It is not a weakly prime, because it can be changed into another prime (100110001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000504 + 50055000505.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000505).

Almost surely, 2^100110001009 is an apocalyptic number.

It is an amenable number.

100110001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001009 is an equidigital number, since it uses as much as digits as its factorization.

100110001009 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 13.

The spelling of 100110001009 in words is "one hundred billion, one hundred ten million, one thousand, nine".