10202031123289 has 2 divisors, whose sum is σ = 10202031123290. Its totient is φ = 10202031123288.

The previous prime is 10202031123247. The next prime is 10202031123307. The reversal of 10202031123289 is 98232113020201.

10202031123289 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., 9848719763289 + 353311360000 = 3138267^2 + 594400^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202031123289 - 2¹¹ = 10202031121241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202031133289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101015561644 + 5101015561645.

It is an arithmetic number, because the mean of its divisors is an integer number (5101015561645).

Almost surely, 2^{10202031123289} is an apocalyptic number.

It is an amenable number.

10202031123289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202031123289 is an equidigital number, since it uses as much as digits as its factorization.

10202031123289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 10202031123289 in words is "ten trillion, two hundred two billion, thirty-one million, one hundred twenty-three thousand, two hundred eighty-nine".