201021122102089 has 2 divisors, whose sum is σ = 201021122102090. Its totient is φ = 201021122102088.

The previous prime is 201021122101999. The next prime is 201021122102093. The reversal of 201021122102089 is 980201221120102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191969809170489 + 9051312931600 = 13855317^2 + 3008540^2 .

It is a cyclic number.

It is not a de Polignac number, because 201021122102089 - 2¹¹ = 201021122100041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201021122102089.

It is not a weakly prime, because it can be changed into another prime (201021122102189) 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, 100510561051044 + 100510561051045.

It is an arithmetic number, because the mean of its divisors is an integer number (100510561051045).

Almost surely, 2^{201021122102089} is an apocalyptic number.

It is an amenable number.

201021122102089 is a deficient number, since it is larger than the sum of its proper divisors (1).

201021122102089 is an equidigital number, since it uses as much as digits as its factorization.

201021122102089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 201021122102089 in words is "two hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred two thousand, eighty-nine".