10221331103201 has 2 divisors, whose sum is σ = 10221331103202. Its totient is φ = 10221331103200.

The previous prime is 10221331103189. The next prime is 10221331103213. The reversal of 10221331103201 is 10230113312201.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10221331103189) and next prime (10221331103213).

It can be written as a sum of positive squares in only one way, i.e., 7229645440000 + 2991685663201 = 2688800^2 + 1729649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221331103201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221331103281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110665551600 + 5110665551601.

It is an arithmetic number, because the mean of its divisors is an integer number (5110665551601).

Almost surely, 2^{10221331103201} is an apocalyptic number.

It is an amenable number.

10221331103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221331103201 is an equidigital number, since it uses as much as digits as its factorization.

10221331103201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10221331103201 its reverse (10230113312201), we get a palindrome (20451444415402).

The spelling of 10221331103201 in words is "ten trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred three thousand, two hundred one".