101111000011009 has 16 divisors (see below), whose sum is σ = 101696546785680. Its totient is φ = 100527207788800.

The previous prime is 101111000010941. The next prime is 101111000011081. The reversal of 101111000011009 is 900110000111101.

It can be written as a sum of positive squares in 8 ways, for example, as 78708338419984 + 22402661591025 = 8871772^2 + 4733145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000011009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111000010983 and 101111000011001.

It is not an unprimeable number, because it can be changed into a prime (101111000411009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270339159 + ... + 270712915.

It is an arithmetic number, because the mean of its divisors is an integer number (6356034174105).

Almost surely, 2^{101111000011009} is an apocalyptic number.

It is an amenable number.

101111000011009 is a deficient number, since it is larger than the sum of its proper divisors (585546774671).

101111000011009 is a wasteful number, since it uses less digits than its factorization.

101111000011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376100.

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

The spelling of 101111000011009 in words is "one hundred one trillion, one hundred eleven billion, eleven thousand, nine".