12200121100201 has 4 divisors (see below), whose sum is σ = 12200128326612. Its totient is φ = 12200113873792.

The previous prime is 12200121100177. The next prime is 12200121100229. The reversal of 12200121100201 is 10200112100221.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2519280026176 + 9680841074025 = 1587224^2 + 3111405^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200121100201 - 2¹⁷ = 12200120969129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200121100801) 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 3 ways as a sum of consecutive naturals, for example, 419505 + ... + 4957441.

It is an arithmetic number, because the mean of its divisors is an integer number (3050032081653).

Almost surely, 2^{12200121100201} is an apocalyptic number.

It is an amenable number.

12200121100201 is a deficient number, since it is larger than the sum of its proper divisors (7226411).

12200121100201 is an equidigital number, since it uses as much as digits as its factorization.

12200121100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226410.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200121100201 its reverse (10200112100221), we get a palindrome (22400233200422).

The spelling of 12200121100201 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, two hundred one".