34113552101 has 2 divisors, whose sum is σ = 34113552102. Its totient is φ = 34113552100.

The previous prime is 34113552019. The next prime is 34113552113. The reversal of 34113552101 is 10125531143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21400764100 + 12712788001 = 146290^2 + 112751^2 .

It is a cyclic number.

It is not a de Polignac number, because 34113552101 - 2¹⁴ = 34113535717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34113552181) 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, 17056776050 + 17056776051.

It is an arithmetic number, because the mean of its divisors is an integer number (17056776051).

Almost surely, 2^34113552101 is an apocalyptic number.

It is an amenable number.

34113552101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113552101 is an equidigital number, since it uses as much as digits as its factorization.

34113552101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 34113552101 in words is "thirty-four billion, one hundred thirteen million, five hundred fifty-two thousand, one hundred one".