10122202001113 has 2 divisors, whose sum is σ = 10122202001114. Its totient is φ = 10122202001112.

The previous prime is 10122202001083. The next prime is 10122202001129. The reversal of 10122202001113 is 31110020222101.

It is an a-pointer prime, because the next prime (10122202001129) can be obtained adding 10122202001113 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9915111475929 + 207090525184 = 3148827^2 + 455072^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122202001113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122202002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061101000556 + 5061101000557.

It is an arithmetic number, because the mean of its divisors is an integer number (5061101000557).

Almost surely, 2^{10122202001113} is an apocalyptic number.

It is an amenable number.

10122202001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122202001113 is an equidigital number, since it uses as much as digits as its factorization.

10122202001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10122202001113 its reverse (31110020222101), we get a palindrome (41232222223214).

The spelling of 10122202001113 in words is "ten trillion, one hundred twenty-two billion, two hundred two million, one thousand, one hundred thirteen".