10010434113209 has 2 divisors, whose sum is σ = 10010434113210. Its totient is φ = 10010434113208.

The previous prime is 10010434113191. The next prime is 10010434113241. The reversal of 10010434113209 is 90231143401001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10006561789225 + 3872323984 = 3163315^2 + 62228^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010434113209 - 2⁸ = 10010434112953 is a prime.

It is a super-2 number, since 2×10010434113209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010434113509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005217056604 + 5005217056605.

It is an arithmetic number, because the mean of its divisors is an integer number (5005217056605).

Almost surely, 2^{10010434113209} is an apocalyptic number.

It is an amenable number.

10010434113209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010434113209 is an equidigital number, since it uses as much as digits as its factorization.

10010434113209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10010434113209 in words is "ten trillion, ten billion, four hundred thirty-four million, one hundred thirteen thousand, two hundred nine".