10200220212221 has 16 divisors (see below), whose sum is σ = 11065870998000. Its totient is φ = 9346153893888.

The previous prime is 10200220212187. The next prime is 10200220212227. The reversal of 10200220212221 is 12221202200201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 349322371225 + 9850897840996 = 591035^2 + 3138614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200220212221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10200220212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200220212227) 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 15 ways as a sum of consecutive naturals, for example, 24099065 + ... + 24518673.

It is an arithmetic number, because the mean of its divisors is an integer number (691616937375).

Almost surely, 2^{10200220212221} is an apocalyptic number.

It is an amenable number.

10200220212221 is a deficient number, since it is larger than the sum of its proper divisors (865650785779).

10200220212221 is a wasteful number, since it uses less digits than its factorization.

10200220212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433408.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10200220212221 its reverse (12221202200201), we get a palindrome (22421422412422).

The spelling of 10200220212221 in words is "ten trillion, two hundred billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty-one".