100200311012321 has 8 divisors (see below), whose sum is σ = 107938364102184. Its totient is φ = 92466591759360.

The previous prime is 100200311012303. The next prime is 100200311012323. The reversal of 100200311012321 is 123210113002001.

It can be written as a sum of positive squares in 4 ways, for example, as 4295405471296 + 95904905541025 = 2072536^2 + 9793105^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-100200311012321 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 100200311012321.

It is not an unprimeable number, because it can be changed into a prime (100200311012323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083411200 + ... + 1083503681.

It is an arithmetic number, because the mean of its divisors is an integer number (13492295512773).

Almost surely, 2^{100200311012321} is an apocalyptic number.

It is an amenable number.

100200311012321 is a deficient number, since it is larger than the sum of its proper divisors (7738053089863).

100200311012321 is a wasteful number, since it uses less digits than its factorization.

100200311012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166918451.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100200311012321 its reverse (123210113002001), we get a palindrome (223410424014322).

The spelling of 100200311012321 in words is "one hundred trillion, two hundred billion, three hundred eleven million, twelve thousand, three hundred twenty-one".