200201200002121 has 8 divisors (see below), whose sum is σ = 201976089124104. Its totient is φ = 198426366969600.

The previous prime is 200201200002119. The next prime is 200201200002143. The reversal of 200201200002121 is 121200002102002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20127210704896 + 180073989297225 = 4486336^2 + 13419165^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 200201200002121 - 2¹ = 200201200002119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200201200002521) 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 7 ways as a sum of consecutive naturals, for example, 6835830 + ... + 21145471.

It is an arithmetic number, because the mean of its divisors is an integer number (25247011140513).

Almost surely, 2^{200201200002121} is an apocalyptic number.

It is an amenable number.

200201200002121 is a deficient number, since it is larger than the sum of its proper divisors (1774889121983).

200201200002121 is a wasteful number, since it uses less digits than its factorization.

200201200002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28044731.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200201200002121 its reverse (121200002102002), we get a palindrome (321401202104123).

The spelling of 200201200002121 in words is "two hundred trillion, two hundred one billion, two hundred million, two thousand, one hundred twenty-one".