1009232824101 has 16 divisors (see below), whose sum is σ = 1347284479104. Its totient is φ = 672001821504.

The previous prime is 1009232824079. The next prime is 1009232824109. The reversal of 1009232824101 is 1014282329001.

It is not a de Polignac number, because 1009232824101 - 2⁶ = 1009232824037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009232824109) 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, 14822331 + ... + 14890263.

It is an arithmetic number, because the mean of its divisors is an integer number (84205279944).

Almost surely, 2^{1009232824101} is an apocalyptic number.

It is an amenable number.

1009232824101 is a deficient number, since it is larger than the sum of its proper divisors (338051655003).

1009232824101 is an equidigital number, since it uses as much as digits as its factorization.

1009232824101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73900.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1009232824101 in words is "one trillion, nine billion, two hundred thirty-two million, eight hundred twenty-four thousand, one hundred one".