39845838101 has 2 divisors, whose sum is σ = 39845838102. Its totient is φ = 39845838100.

The previous prime is 39845838047. The next prime is 39845838169. The reversal of 39845838101 is 10183854893.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26308515601 + 13537322500 = 162199^2 + 116350^2 .

It is an emirp because it is prime and its reverse (10183854893) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 39845838101 - 2³⁴ = 22665968917 is a prime.

It is a super-2 number, since 2×39845838101² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39845838101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39845838191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19922919050 + 19922919051.

It is an arithmetic number, because the mean of its divisors is an integer number (19922919051).

Almost surely, 2^39845838101 is an apocalyptic number.

It is an amenable number.

39845838101 is a deficient number, since it is larger than the sum of its proper divisors (1).

39845838101 is an equidigital number, since it uses as much as digits as its factorization.

39845838101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 39845838101 in words is "thirty-nine billion, eight hundred forty-five million, eight hundred thirty-eight thousand, one hundred one".