10001013302221 has 2 divisors, whose sum is σ = 10001013302222. Its totient is φ = 10001013302220.

The previous prime is 10001013302209. The next prime is 10001013302239. The reversal of 10001013302221 is 12220331010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7782063433225 + 2218949868996 = 2789635^2 + 1489614^2 .

It is an emirp because it is prime and its reverse (12220331010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001013302221 - 2¹³ = 10001013294029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001013302195 and 10001013302204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001013303221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000506651110 + 5000506651111.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506651111).

Almost surely, 2^{10001013302221} is an apocalyptic number.

It is an amenable number.

10001013302221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001013302221 is an equidigital number, since it uses as much as digits as its factorization.

10001013302221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10001013302221 its reverse (12220331010001), we get a palindrome (22221344312222).

The spelling of 10001013302221 in words is "ten trillion, one billion, thirteen million, three hundred two thousand, two hundred twenty-one".