200221201012221 has 192 divisors, whose sum is σ = 316403822592000. Its totient is φ = 121624754549760.

The previous prime is 200221201012159. The next prime is 200221201012243. The reversal of 200221201012221 is 122210102122002.

It is a happy number.

200221201012221 is a `hidden beast` number, since 20 + 0 + 221 + 201 + 0 + 1 + 2 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-200221201012221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200221201012194 and 200221201012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221201013221) 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 191 ways as a sum of consecutive naturals, for example, 95845475745 + ... + 95845477833.

It is an arithmetic number, because the mean of its divisors is an integer number (1647936576000).

Almost surely, 2^{200221201012221} is an apocalyptic number.

It is an amenable number.

200221201012221 is a deficient number, since it is larger than the sum of its proper divisors (116182621579779).

200221201012221 is a wasteful number, since it uses less digits than its factorization.

200221201012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200221201012221 its reverse (122210102122002), we get a palindrome (322431303134223).

The spelling of 200221201012221 in words is "two hundred trillion, two hundred twenty-one billion, two hundred one million, twelve thousand, two hundred twenty-one".