113121202121 has 2 divisors, whose sum is σ = 113121202122. Its totient is φ = 113121202120.

The previous prime is 113121202099. The next prime is 113121202241. The reversal of 113121202121 is 121202121311.

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., 112194852025 + 926350096 = 334955^2 + 30436^2 .

It is an emirp because it is prime and its reverse (121202121311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113121202121 - 2³⁰ = 112047460297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113121202121.

It is not a weakly prime, because it can be changed into another prime (113121202721) 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, 56560601060 + 56560601061.

It is an arithmetic number, because the mean of its divisors is an integer number (56560601061).

Almost surely, 2^113121202121 is an apocalyptic number.

It is an amenable number.

113121202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113121202121 is an equidigital number, since it uses as much as digits as its factorization.

113121202121 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 17.

Adding to 113121202121 its reverse (121202121311), we get a palindrome (234323323432).

The spelling of 113121202121 in words is "one hundred thirteen billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-one".