1010001101009 has 2 divisors, whose sum is σ = 1010001101010. Its totient is φ = 1010001101008.

The previous prime is 1010001101003. The next prime is 1010001101141. The reversal of 1010001101009 is 9001011000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 577747449409 + 432253651600 = 760097^2 + 657460^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001101009 - 2⁴ = 1010001100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010001100984 and 1010001101002.

It is not a weakly prime, because it can be changed into another prime (1010001101003) 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, 505000550504 + 505000550505.

It is an arithmetic number, because the mean of its divisors is an integer number (505000550505).

Almost surely, 2^{1010001101009} is an apocalyptic number.

It is an amenable number.

1010001101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001101009 is an equidigital number, since it uses as much as digits as its factorization.

1010001101009 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 1010001101009 in words is "one trillion, ten billion, one million, one hundred one thousand, nine".