100201322100321 has 48 divisors (see below), whose sum is σ = 157623276545280. Its totient is φ = 60968271386880.

The previous prime is 100201322100301. The next prime is 100201322100331. The reversal of 100201322100321 is 123001223102001.

100201322100321 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 132 + 210 + 0 + 321 = 666.

It is not a de Polignac number, because 100201322100321 - 2²⁹ = 100200785229409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201322100294 and 100201322100303.

It is not an unprimeable number, because it can be changed into a prime (100201322100301) 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 47 ways as a sum of consecutive naturals, for example, 962431950 + ... + 962536056.

It is an arithmetic number, because the mean of its divisors is an integer number (3283818261360).

Almost surely, 2^{100201322100321} is an apocalyptic number.

It is an amenable number.

100201322100321 is a deficient number, since it is larger than the sum of its proper divisors (57421954444959).

100201322100321 is a wasteful number, since it uses less digits than its factorization.

100201322100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196646 (or 196643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100201322100321 its reverse (123001223102001), we get a palindrome (223202545202322).

The spelling of 100201322100321 in words is "one hundred trillion, two hundred one billion, three hundred twenty-two million, one hundred thousand, three hundred twenty-one".