10205103353231 has 2 divisors, whose sum is σ = 10205103353232. Its totient is φ = 10205103353230.

The previous prime is 10205103353209. The next prime is 10205103353243. The reversal of 10205103353231 is 13235330150201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10205103353231 - 2⁶ = 10205103353167 is a prime.

It is a super-2 number, since 2×10205103353231² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10205103353194 and 10205103353203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205103353201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102551676615 + 5102551676616.

It is an arithmetic number, because the mean of its divisors is an integer number (5102551676616).

Almost surely, 2^{10205103353231} is an apocalyptic number.

10205103353231 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205103353231 is an equidigital number, since it uses as much as digits as its factorization.

10205103353231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 10205103353231 in words is "ten trillion, two hundred five billion, one hundred three million, three hundred fifty-three thousand, two hundred thirty-one".