10012100009 has 2 divisors, whose sum is σ = 10012100010. Its totient is φ = 10012100008.

The previous prime is 10012099973. The next prime is 10012100029. The reversal of 10012100009 is 90000121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7123360000 + 2888740009 = 84400^2 + 53747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012099966 and 10012100002.

It is not a weakly prime, because it can be changed into another prime (10012100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006050004 + 5006050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5006050005).

Almost surely, 2^10012100009 is an apocalyptic number.

It is an amenable number.

10012100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012100009 is an equidigital number, since it uses as much as digits as its factorization.

10012100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10012100009 in words is "ten billion, twelve million, one hundred thousand, nine".