11011010101009 has 8 divisors (see below), whose sum is σ = 11015395289640. Its totient is φ = 11006625791616.

The previous prime is 11011010100997. The next prime is 11011010101019. The reversal of 11011010101009 is 90010101011011.

It can be written as a sum of positive squares in 4 ways, for example, as 138473294400 + 10872536806609 = 372120^2 + 3297353^2 .

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 11011010101009 - 2³³ = 11002420166417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011010100983 and 11011010101001.

It is not an unprimeable number, because it can be changed into a prime (11011010101019) 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, 25423927 + ... + 25853395.

It is an arithmetic number, because the mean of its divisors is an integer number (1376924411205).

Almost surely, 2^{11011010101009} is an apocalyptic number.

It is an amenable number.

11011010101009 is a deficient number, since it is larger than the sum of its proper divisors (4385188631).

11011010101009 is an equidigital number, since it uses as much as digits as its factorization.

11011010101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439619.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11011010101009 in words is "eleven trillion, eleven billion, ten million, one hundred one thousand, nine".