101011111000109 has 16 divisors (see below), whose sum is σ = 103899428532144. Its totient is φ = 98143477132800.

The previous prime is 101011111000081. The next prime is 101011111000153. The reversal of 101011111000109 is 901000111110101.

It can be written as a sum of positive squares in 8 ways, for example, as 2612587322500 + 98398523677609 = 1616350^2 + 9919603^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111000109 - 2²⁴ = 101011094222893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111005109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14561399 + ... + 20348379.

It is an arithmetic number, because the mean of its divisors is an integer number (6493714283259).

Almost surely, 2^{101011111000109} is an apocalyptic number.

It is an amenable number.

101011111000109 is a deficient number, since it is larger than the sum of its proper divisors (2888317532035).

101011111000109 is a wasteful number, since it uses less digits than its factorization.

101011111000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788768.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101011111000109 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred nine", and thus it is an aban number.