10010112102209 has 2 divisors, whose sum is σ = 10010112102210. Its totient is φ = 10010112102208.

The previous prime is 10010112102181. The next prime is 10010112102313. The reversal of 10010112102209 is 90220121101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10001912256400 + 8199845809 = 3162580^2 + 90553^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010112102209 - 2¹² = 10010112098113 is a prime.

It is a super-3 number, since 3×10010112102209³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10010112102409) 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, 5005056051104 + 5005056051105.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056051105).

Almost surely, 2^{10010112102209} is an apocalyptic number.

It is an amenable number.

10010112102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010112102209 is an equidigital number, since it uses as much as digits as its factorization.

10010112102209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10010112102209 in words is "ten trillion, ten billion, one hundred twelve million, one hundred two thousand, two hundred nine".