101101010001009 has 8 divisors (see below), whose sum is σ = 138444626307840. Its totient is φ = 65579033514096.

The previous prime is 101101010000957. The next prime is 101101010001031. The reversal of 101101010001009 is 900100010101101.

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

It is not a de Polignac number, because 101101010001009 - 2¹⁵ = 101101009968241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101010001059) 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, 455409954849 + ... + 455409955070.

It is an arithmetic number, because the mean of its divisors is an integer number (17305578288480).

Almost surely, 2^{101101010001009} is an apocalyptic number.

It is an amenable number.

101101010001009 is a deficient number, since it is larger than the sum of its proper divisors (37343616306831).

101101010001009 is an equidigital number, since it uses as much as digits as its factorization.

101101010001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910819909959.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101101010001009 in words is "one hundred one trillion, one hundred one billion, ten million, one thousand, nine".