200201120121121 has 48 divisors (see below), whose sum is σ = 247352472921600. Its totient is φ = 161475890526720.

The previous prime is 200201120121043. The next prime is 200201120121193. The reversal of 200201120121121 is 121121021102002.

It is a de Polignac number, because none of the positive numbers 2^k-200201120121121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200201120121095 and 200201120121104.

It is not an unprimeable number, because it can be changed into a prime (200201130121121) 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 47 ways as a sum of consecutive naturals, for example, 1556818536 + ... + 1556947126.

It is an arithmetic number, because the mean of its divisors is an integer number (5153176519200).

Almost surely, 2^{200201120121121} is an apocalyptic number.

It is an amenable number.

200201120121121 is a deficient number, since it is larger than the sum of its proper divisors (47151352800479).

200201120121121 is an frugal number, since it uses more digits than its factorization.

200201120121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134092 (or 134064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 200201120121121 its reverse (121121021102002), we get a palindrome (321322141223123).

The spelling of 200201120121121 in words is "two hundred trillion, two hundred one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".