200201211011221 has 24 divisors (see below), whose sum is σ = 233239702774104. Its totient is φ = 171341427156480.

The previous prime is 200201211011203. The next prime is 200201211011239. The reversal of 200201211011221 is 122110112102002.

It is an interprime number because it is at equal distance from previous prime (200201211011203) and next prime (200201211011239).

It can be written as a sum of positive squares in 4 ways, for example, as 36461803566321 + 163739407444900 = 6038361^2 + 12796070^2 .

It is not a de Polignac number, because 200201211011221 - 2⁵ = 200201211011189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200201211011195 and 200201211011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201211011821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90038361 + ... + 92235073.

It is an arithmetic number, because the mean of its divisors is an integer number (9718320948921).

Almost surely, 2^{200201211011221} is an apocalyptic number.

It is an amenable number.

200201211011221 is a deficient number, since it is larger than the sum of its proper divisors (33038491762883).

200201211011221 is a wasteful number, since it uses less digits than its factorization.

200201211011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199541 (or 2199534 counting only the distinct ones).

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

Adding to 200201211011221 its reverse (122110112102002), we get a palindrome (322311323113223).

The spelling of 200201211011221 in words is "two hundred trillion, two hundred one billion, two hundred eleven million, eleven thousand, two hundred twenty-one".