100442304033121 has 8 divisors (see below), whose sum is σ = 101213479819584. Its totient is φ = 99671195529360.

The previous prime is 100442304033107. The next prime is 100442304033167. The reversal of 100442304033121 is 121330403244001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100442304033121 - 2¹³ = 100442304024929 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 100442304033121.

It is not an unprimeable number, because it can be changed into a prime (100442304030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13821490 + ... + 19796923.

It is an arithmetic number, because the mean of its divisors is an integer number (12651684977448).

Almost surely, 2^{100442304033121} is an apocalyptic number.

It is an amenable number.

100442304033121 is a deficient number, since it is larger than the sum of its proper divisors (771175786463).

100442304033121 is a wasteful number, since it uses less digits than its factorization.

100442304033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33641351.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100442304033121 its reverse (121330403244001), we get a palindrome (221772707277122).

The spelling of 100442304033121 in words is "one hundred trillion, four hundred forty-two billion, three hundred four million, thirty-three thousand, one hundred twenty-one".