20002100120201 has 8 divisors (see below), whose sum is σ = 20283664851240. Its totient is φ = 19722369687552.

The previous prime is 20002100120173. The next prime is 20002100120203. The reversal of 20002100120201 is 10202100120002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 509424787600 + 19492675332601 = 713740^2 + 4415051^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20002100120201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20002100120203) 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, 458552636 + ... + 458596253.

It is an arithmetic number, because the mean of its divisors is an integer number (2535458106405).

Almost surely, 2^{20002100120201} is an apocalyptic number.

It is an amenable number.

20002100120201 is a deficient number, since it is larger than the sum of its proper divisors (281564731039).

20002100120201 is a wasteful number, since it uses less digits than its factorization.

20002100120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917149195.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20002100120201 its reverse (10202100120002), we get a palindrome (30204200240203).

The spelling of 20002100120201 in words is "twenty trillion, two billion, one hundred million, one hundred twenty thousand, two hundred one".