10071121122221 has 2 divisors, whose sum is σ = 10071121122222. Its totient is φ = 10071121122220.

The previous prime is 10071121122191. The next prime is 10071121122319. The reversal of 10071121122221 is 12222112117001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5936970828100 + 4134150294121 = 2436590^2 + 2033261^2 .

It is an emirp because it is prime and its reverse (12222112117001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10071121122221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10071121128221) 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 as a sum of consecutive naturals, namely, 5035560561110 + 5035560561111.

It is an arithmetic number, because the mean of its divisors is an integer number (5035560561111).

Almost surely, 2^{10071121122221} is an apocalyptic number.

It is an amenable number.

10071121122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10071121122221 is an equidigital number, since it uses as much as digits as its factorization.

10071121122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 10071121122221 its reverse (12222112117001), we get a palindrome (22293233239222).

The spelling of 10071121122221 in words is "ten trillion, seventy-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".