122220002100221 has 8 divisors (see below), whose sum is σ = 125738321023224. Its totient is φ = 118727270951680.

The previous prime is 122220002100121. The next prime is 122220002100257. The reversal of 122220002100221 is 122001200022221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9394923832996 + 112825078267225 = 3065114^2 + 10621915^2 .

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 122220002100221 - 2⁴⁶ = 51851257922557 is a prime.

It is a Duffinian number.

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 122220002100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220002100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6396933926 + ... + 6396953031.

It is an arithmetic number, because the mean of its divisors is an integer number (15717290127903).

Almost surely, 2^{122220002100221} is an apocalyptic number.

It is an amenable number.

122220002100221 is a deficient number, since it is larger than the sum of its proper divisors (3518318923003).

122220002100221 is a wasteful number, since it uses less digits than its factorization.

122220002100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793887231.

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

Adding to 122220002100221 its reverse (122001200022221), we get a palindrome (244221202122442).

The spelling of 122220002100221 in words is "one hundred twenty-two trillion, two hundred twenty billion, two million, one hundred thousand, two hundred twenty-one".