10001100506171 has 2 divisors, whose sum is σ = 10001100506172. Its totient is φ = 10001100506170.

The previous prime is 10001100506083. The next prime is 10001100506179. The reversal of 10001100506171 is 17160500110001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001100506171 is a prime.

It is a super-2 number, since 2×10001100506171² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001100506179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550253085 + 5000550253086.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550253086).

Almost surely, 2^{10001100506171} is an apocalyptic number.

10001100506171 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100506171 is an equidigital number, since it uses as much as digits as its factorization.

10001100506171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 23.

Adding to 10001100506171 its reverse (17160500110001), we get a palindrome (27161600616172).

The spelling of 10001100506171 in words is "ten trillion, one billion, one hundred million, five hundred six thousand, one hundred seventy-one".