10500005050001 has 2 divisors, whose sum is σ = 10500005050002. Its totient is φ = 10500005050000.

The previous prime is 10500005049973. The next prime is 10500005050009. The reversal of 10500005050001 is 10005050000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8346037880401 + 2153967169600 = 2888951^2 + 1467640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500005050001 - 2³⁸ = 10225127143057 is a prime.

It is a super-2 number, since 2×10500005050001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10500005050009) 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, 5250002525000 + 5250002525001.

It is an arithmetic number, because the mean of its divisors is an integer number (5250002525001).

Almost surely, 2^{10500005050001} is an apocalyptic number.

It is an amenable number.

10500005050001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500005050001 is an equidigital number, since it uses as much as digits as its factorization.

10500005050001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 17.

Adding to 10500005050001 its reverse (10005050000501), we get a palindrome (20505055050502).

The spelling of 10500005050001 in words is "ten trillion, five hundred billion, five million, fifty thousand, one".