10004334101 has 2 divisors, whose sum is σ = 10004334102. Its totient is φ = 10004334100.

The previous prime is 10004334091. The next prime is 10004334107. The reversal of 10004334101 is 10143340001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9874396900 + 129937201 = 99370^2 + 11399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004334101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10004334101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004334107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002167050 + 5002167051.

It is an arithmetic number, because the mean of its divisors is an integer number (5002167051).

Almost surely, 2^10004334101 is an apocalyptic number.

It is an amenable number.

10004334101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004334101 is an equidigital number, since it uses as much as digits as its factorization.

10004334101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10004334101 its reverse (10143340001), we get a palindrome (20147674102).

The spelling of 10004334101 in words is "ten billion, four million, three hundred thirty-four thousand, one hundred one".