3829123824101 has 2 divisors, whose sum is σ = 3829123824102. Its totient is φ = 3829123824100.

The previous prime is 3829123824059. The next prime is 3829123824103. The reversal of 3829123824101 is 1014283219283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3765342321601 + 63781502500 = 1940449^2 + 252550^2 .

It is an emirp because it is prime and its reverse (1014283219283) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3829123824101 is a prime.

It is a Sophie Germain prime.

Together with 3829123824103, it forms a pair of twin primes.

It is a Chen 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 (3829123824103) 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, 1914561912050 + 1914561912051.

It is an arithmetic number, because the mean of its divisors is an integer number (1914561912051).

Almost surely, 2^{3829123824101} is an apocalyptic number.

It is an amenable number.

3829123824101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3829123824101 is an equidigital number, since it uses as much as digits as its factorization.

3829123824101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 3829123824101 in words is "three trillion, eight hundred twenty-nine billion, one hundred twenty-three million, eight hundred twenty-four thousand, one hundred one".