34361066101 has 2 divisors, whose sum is σ = 34361066102. Its totient is φ = 34361066100.

The previous prime is 34361066099. The next prime is 34361066119. The reversal of 34361066101 is 10166016343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34252385476 + 108680625 = 185074^2 + 10425^2 .

It is a cyclic number.

It is not a de Polignac number, because 34361066101 - 2¹ = 34361066099 is a prime.

Together with 34361066099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34361066161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17180533050 + 17180533051.

It is an arithmetic number, because the mean of its divisors is an integer number (17180533051).

Almost surely, 2^34361066101 is an apocalyptic number.

It is an amenable number.

34361066101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34361066101 is an equidigital number, since it uses as much as digits as its factorization.

34361066101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 34361066101 in words is "thirty-four billion, three hundred sixty-one million, sixty-six thousand, one hundred one".