101441603009 has 16 divisors (see below), whose sum is σ = 102569328000. Its totient is φ = 100320365184.

The previous prime is 101441602957. The next prime is 101441603033. The reversal of 101441603009 is 900306144101.

It is a cyclic number.

It is not a de Polignac number, because 101441603009 - 2²⁴ = 101424825793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101441623009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50795999 + ... + 50797995.

It is an arithmetic number, because the mean of its divisors is an integer number (6410583000).

Almost surely, 2^101441603009 is an apocalyptic number.

It is an amenable number.

101441603009 is a deficient number, since it is larger than the sum of its proper divisors (1127724991).

101441603009 is a wasteful number, since it uses less digits than its factorization.

101441603009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 101441603009 in words is "one hundred one billion, four hundred forty-one million, six hundred three thousand, nine".