10100010009209 has 2 divisors, whose sum is σ = 10100010009210. Its totient is φ = 10100010009208.

The previous prime is 10100010009163. The next prime is 10100010009227. The reversal of 10100010009209 is 90290001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6650353853584 + 3449656155625 = 2578828^2 + 1857325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100010009209 is a prime.

It is a super-2 number, since 2×10100010009209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100010069209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005004604 + 5050005004605.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005004605).

Almost surely, 2^{10100010009209} is an apocalyptic number.

It is an amenable number.

10100010009209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010009209 is an equidigital number, since it uses as much as digits as its factorization.

10100010009209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 10100010009209 in words is "ten trillion, one hundred billion, ten million, nine thousand, two hundred nine".