10204102122563 has 2 divisors, whose sum is σ = 10204102122564. Its totient is φ = 10204102122562.

The previous prime is 10204102122509. The next prime is 10204102122589. The reversal of 10204102122563 is 36522120140201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10204102122563 - 2²² = 10204097928259 is a prime.

It is not a weakly prime, because it can be changed into another prime (10207102122563) 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, 5102051061281 + 5102051061282.

It is an arithmetic number, because the mean of its divisors is an integer number (5102051061282).

Almost surely, 2^{10204102122563} is an apocalyptic number.

10204102122563 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204102122563 is an equidigital number, since it uses as much as digits as its factorization.

10204102122563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10204102122563 its reverse (36522120140201), we get a palindrome (46726222262764).

The spelling of 10204102122563 in words is "ten trillion, two hundred four billion, one hundred two million, one hundred twenty-two thousand, five hundred sixty-three".