34712141205101 has 2 divisors, whose sum is σ = 34712141205102. Its totient is φ = 34712141205100.

The previous prime is 34712141205031. The next prime is 34712141205151. The reversal of 34712141205101 is 10150214121743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22704176712100 + 12007964493001 = 4764890^2 + 3465251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34712141205101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34712141205151) 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, 17356070602550 + 17356070602551.

It is an arithmetic number, because the mean of its divisors is an integer number (17356070602551).

Almost surely, 2^{34712141205101} is an apocalyptic number.

It is an amenable number.

34712141205101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34712141205101 is an equidigital number, since it uses as much as digits as its factorization.

34712141205101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 34712141205101 its reverse (10150214121743), we get a palindrome (44862355326844).

The spelling of 34712141205101 in words is "thirty-four trillion, seven hundred twelve billion, one hundred forty-one million, two hundred five thousand, one hundred one".