101001010001009 has 2 divisors, whose sum is σ = 101001010001010. Its totient is φ = 101001010001008.

The previous prime is 101001010000973. The next prime is 101001010001011. The reversal of 101001010001009 is 900100010100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95353272010000 + 5647737991009 = 9764900^2 + 2376497^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001010001009 - 2⁸ = 101001010000753 is a prime.

Together with 101001010001011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001010000984 and 101001010001002.

It is not a weakly prime, because it can be changed into another prime (101001010001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505000504 + 50500505000505.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505000505).

Almost surely, 2^{101001010001009} is an apocalyptic number.

It is an amenable number.

101001010001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010001009 is an equidigital number, since it uses as much as digits as its factorization.

101001010001009 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 14.

The spelling of 101001010001009 in words is "one hundred one trillion, one billion, ten million, one thousand, nine".