101000001001009 has 8 divisors (see below), whose sum is σ = 111156879622752. Its totient is φ = 91005632437440.

The previous prime is 101000001000979. The next prime is 101000001001019. The reversal of 101000001001009 is 900100100000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000001001009 - 2⁷ = 101000001000881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000001001009.

It is not an unprimeable number, because it can be changed into a prime (101000001001019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40627513239 + ... + 40627515724.

It is an arithmetic number, because the mean of its divisors is an integer number (13894609952844).

Almost surely, 2^{101000001001009} is an apocalyptic number.

It is an amenable number.

101000001001009 is a deficient number, since it is larger than the sum of its proper divisors (10156878621743).

101000001001009 is a wasteful number, since it uses less digits than its factorization.

101000001001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81255029087.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 101000001001009 in words is "one hundred one trillion, one million, one thousand, nine".