101010001009 has 2 divisors, whose sum is σ = 101010001010. Its totient is φ = 101010001008.

The previous prime is 101010000997. The next prime is 101010001019. The reversal of 101010001009 is 900100010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81764543025 + 19245457984 = 285945^2 + 138728^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001009 - 2⁵ = 101010000977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010001009.

It is not a weakly prime, because it can be changed into another prime (101010001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000504 + 50505000505.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000505).

Almost surely, 2^101010001009 is an apocalyptic number.

It is an amenable number.

101010001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001009 is an equidigital number, since it uses as much as digits as its factorization.

101010001009 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 101010001009 in words is "one hundred one billion, ten million, one thousand, nine".