344114304000101 has 2 divisors, whose sum is σ = 344114304000102. Its totient is φ = 344114304000100.

The previous prime is 344114304000079. The next prime is 344114304000161. The reversal of 344114304000101 is 101000403411443.

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., 333569677932100 + 10544626068001 = 18263890^2 + 3247249^2 .

It is a cyclic number.

It is not a de Polignac number, because 344114304000101 - 2²² = 344114299805797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (344114304000161) 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, 172057152000050 + 172057152000051.

It is an arithmetic number, because the mean of its divisors is an integer number (172057152000051).

Almost surely, 2^{344114304000101} is an apocalyptic number.

It is an amenable number.

344114304000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

344114304000101 is an equidigital number, since it uses as much as digits as its factorization.

344114304000101 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 26.

Adding to 344114304000101 its reverse (101000403411443), we get a palindrome (445114707411544).

The spelling of 344114304000101 in words is "three hundred forty-four trillion, one hundred fourteen billion, three hundred four million, one hundred one", and thus it is an aban number.