10201031202209 has 2 divisors, whose sum is σ = 10201031202210. Its totient is φ = 10201031202208.

The previous prime is 10201031202203. The next prime is 10201031202211. The reversal of 10201031202209 is 90220213010201.

It is a happy number.

10201031202209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8744913552400 + 1456117649809 = 2957180^2 + 1206697^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201031202209 - 2⁸ = 10201031201953 is a prime.

It is a super-2 number, since 2×10201031202209² (a number of 27 digits) contains 22 as substring.

Together with 10201031202211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10201031202203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100515601104 + 5100515601105.

It is an arithmetic number, because the mean of its divisors is an integer number (5100515601105).

Almost surely, 2^{10201031202209} is an apocalyptic number.

It is an amenable number.

10201031202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201031202209 is an equidigital number, since it uses as much as digits as its factorization.

10201031202209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10201031202209 in words is "ten trillion, two hundred one billion, thirty-one million, two hundred two thousand, two hundred nine".