202122301311113 has 2 divisors, whose sum is σ = 202122301311114. Its totient is φ = 202122301311112.

The previous prime is 202122301311053. The next prime is 202122301311127. The reversal of 202122301311113 is 311113103221202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201955704276544 + 166597034569 = 14211112^2 + 408163^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122301311113 - 2¹⁰ = 202122301310089 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122301211113) 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, 101061150655556 + 101061150655557.

It is an arithmetic number, because the mean of its divisors is an integer number (101061150655557).

Almost surely, 2^{202122301311113} is an apocalyptic number.

It is an amenable number.

202122301311113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122301311113 is an equidigital number, since it uses as much as digits as its factorization.

202122301311113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 202122301311113 its reverse (311113103221202), we get a palindrome (513235404532315).

The spelling of 202122301311113 in words is "two hundred two trillion, one hundred twenty-two billion, three hundred one million, three hundred eleven thousand, one hundred thirteen".