34201122124277 has 2 divisors, whose sum is σ = 34201122124278. Its totient is φ = 34201122124276.

The previous prime is 34201122124189. The next prime is 34201122124313. The reversal of 34201122124277 is 77242122110243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23441613455716 + 10759508668561 = 4841654^2 + 3280169^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201122124277 - 2²⁰ = 34201121075701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34201122124277.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34201122121277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100561062138 + 17100561062139.

It is an arithmetic number, because the mean of its divisors is an integer number (17100561062139).

Almost surely, 2^{34201122124277} is an apocalyptic number.

It is an amenable number.

34201122124277 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201122124277 is an equidigital number, since it uses as much as digits as its factorization.

34201122124277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 34201122124277 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred seventy-seven".