164340434202121 has 2 divisors, whose sum is σ = 164340434202122. Its totient is φ = 164340434202120.

The previous prime is 164340434202101. The next prime is 164340434202149. The reversal of 164340434202121 is 121202434043461.

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., 107065810202121 + 57274624000000 = 10347261^2 + 7568000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164340434202121 is a prime.

It is not a weakly prime, because it can be changed into another prime (164340434202101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82170217101060 + 82170217101061.

It is an arithmetic number, because the mean of its divisors is an integer number (82170217101061).

Almost surely, 2^{164340434202121} is an apocalyptic number.

It is an amenable number.

164340434202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164340434202121 is an equidigital number, since it uses as much as digits as its factorization.

164340434202121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 164340434202121 its reverse (121202434043461), we get a palindrome (285542868245582).

The spelling of 164340434202121 in words is "one hundred sixty-four trillion, three hundred forty billion, four hundred thirty-four million, two hundred two thousand, one hundred twenty-one".