101105375536009 has 16 divisors (see below), whose sum is σ = 111426909656832. Its totient is φ = 91147767355008.

The previous prime is 101105375535973. The next prime is 101105375536021. The reversal of 101105375536009 is 900635573501101.

It is a happy number.

It is not a de Polignac number, because 101105375536009 - 2⁹ = 101105375535497 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 101105375536009.

It is not an unprimeable number, because it can be changed into a prime (101105375537009) 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, 4594609 + ... + 14943934.

It is an arithmetic number, because the mean of its divisors is an integer number (6964181853552).

Almost surely, 2^{101105375536009} is an apocalyptic number.

It is an amenable number.

101105375536009 is a deficient number, since it is larger than the sum of its proper divisors (10321534120823).

101105375536009 is a wasteful number, since it uses less digits than its factorization.

101105375536009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547856.

The product of its (nonzero) digits is 425250, while the sum is 46.

The spelling of 101105375536009 in words is "one hundred one trillion, one hundred five billion, three hundred seventy-five million, five hundred thirty-six thousand, nine".