100112133022321 has 16 divisors (see below), whose sum is σ = 121171860607104. Its totient is φ = 80744217917184.

The previous prime is 100112133022309. The next prime is 100112133022331. The reversal of 100112133022321 is 123220331211001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112133022321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112133022292 and 100112133022301.

It is not an unprimeable number, because it can be changed into a prime (100112133022331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95891350 + ... + 96929743.

It is an arithmetic number, because the mean of its divisors is an integer number (7573241287944).

Almost surely, 2^{100112133022321} is an apocalyptic number.

It is an amenable number.

100112133022321 is a deficient number, since it is larger than the sum of its proper divisors (21059727584783).

100112133022321 is a wasteful number, since it uses less digits than its factorization.

100112133022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192825480.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100112133022321 its reverse (123220331211001), we get a palindrome (223332464233322).

The spelling of 100112133022321 in words is "one hundred trillion, one hundred twelve billion, one hundred thirty-three million, twenty-two thousand, three hundred twenty-one".