34100541001 has 2 divisors, whose sum is σ = 34100541002. Its totient is φ = 34100541000.

The previous prime is 34100540983. The next prime is 34100541011. The reversal of 34100541001 is 10014500143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34060548025 + 39992976 = 184555^2 + 6324^2 .

It is a cyclic number.

It is not a de Polignac number, because 34100541001 - 2⁹ = 34100540489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34100541001.

It is not a weakly prime, because it can be changed into another prime (34100541011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050270500 + 17050270501.

It is an arithmetic number, because the mean of its divisors is an integer number (17050270501).

Almost surely, 2^34100541001 is an apocalyptic number.

It is an amenable number.

34100541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100541001 is an equidigital number, since it uses as much as digits as its factorization.

34100541001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 34100541001 in words is "thirty-four billion, one hundred million, five hundred forty-one thousand, one".