10221121200221 has 8 divisors (see below), whose sum is σ = 10263913437624. Its totient is φ = 10178382758400.

The previous prime is 10221121200209. The next prime is 10221121200223. The reversal of 10221121200221 is 12200212112201.

It can be written as a sum of positive squares in 4 ways, for example, as 3948029911225 + 6273091288996 = 1986965^2 + 2504614^2 .

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 10221121200221 - 2³⁴ = 10203941331037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221121200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221121200223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13068080 + ... + 13828121.

It is an arithmetic number, because the mean of its divisors is an integer number (1282989179703).

Almost surely, 2^{10221121200221} is an apocalyptic number.

It is an amenable number.

10221121200221 is a deficient number, since it is larger than the sum of its proper divisors (42792237403).

10221121200221 is a wasteful number, since it uses less digits than its factorization.

10221121200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26897791.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221121200221 its reverse (12200212112201), we get a palindrome (22421333312422).

The spelling of 10221121200221 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred twenty-one".