10122201101321 has 2 divisors, whose sum is σ = 10122201101322. Its totient is φ = 10122201101320.

The previous prime is 10122201101279. The next prime is 10122201101377. The reversal of 10122201101321 is 12310110222101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5088908851321 + 5033292250000 = 2255861^2 + 2243500^2 .

It is an emirp because it is prime and its reverse (12310110222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122201101321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122201101321.

It is not a weakly prime, because it can be changed into another prime (10122201101521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061100550660 + 5061100550661.

It is an arithmetic number, because the mean of its divisors is an integer number (5061100550661).

Almost surely, 2^{10122201101321} is an apocalyptic number.

It is an amenable number.

10122201101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122201101321 is an equidigital number, since it uses as much as digits as its factorization.

10122201101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10122201101321 its reverse (12310110222101), we get a palindrome (22432311323422).

The spelling of 10122201101321 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, one hundred one thousand, three hundred twenty-one".