10200012100009 has 2 divisors, whose sum is σ = 10200012100010. Its totient is φ = 10200012100008.

The previous prime is 10200012100001. The next prime is 10200012100037. The reversal of 10200012100009 is 90000121000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5914760192784 + 4285251907225 = 2432028^2 + 2070085^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200012100009 - 2³ = 10200012100001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200012099965 and 10200012100001.

It is not a weakly prime, because it can be changed into another prime (10200012100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100006050004 + 5100006050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5100006050005).

Almost surely, 2^{10200012100009} is an apocalyptic number.

It is an amenable number.

10200012100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200012100009 is an equidigital number, since it uses as much as digits as its factorization.

10200012100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10200012100009 in words is "ten trillion, two hundred billion, twelve million, one hundred thousand, nine".