110202102211121 has 2 divisors, whose sum is σ = 110202102211122. Its totient is φ = 110202102211120.

The previous prime is 110202102211099. The next prime is 110202102211207. The reversal of 110202102211121 is 121112201202011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100779111654400 + 9422990556721 = 10038880^2 + 3069689^2 .

It is an emirp because it is prime and its reverse (121112201202011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110202102211121 - 2⁶ = 110202102211057 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 110202102211121.

It is not a weakly prime, because it can be changed into another prime (110202102811121) 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, 55101051105560 + 55101051105561.

It is an arithmetic number, because the mean of its divisors is an integer number (55101051105561).

Almost surely, 2^{110202102211121} is an apocalyptic number.

It is an amenable number.

110202102211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110202102211121 is an equidigital number, since it uses as much as digits as its factorization.

110202102211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110202102211121 its reverse (121112201202011), we get a palindrome (231314303413132).

The spelling of 110202102211121 in words is "one hundred ten trillion, two hundred two billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".