10204120559233 has 2 divisors, whose sum is σ = 10204120559234. Its totient is φ = 10204120559232.

The previous prime is 10204120559201. The next prime is 10204120559317. The reversal of 10204120559233 is 33295502140201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6684174232129 + 3519946327104 = 2585377^2 + 1876152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10204120559233 - 2⁵ = 10204120559201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10204120559192 and 10204120559201.

It is not a weakly prime, because it can be changed into another prime (10204120559033) 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, 5102060279616 + 5102060279617.

It is an arithmetic number, because the mean of its divisors is an integer number (5102060279617).

Almost surely, 2^{10204120559233} is an apocalyptic number.

It is an amenable number.

10204120559233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204120559233 is an equidigital number, since it uses as much as digits as its factorization.

10204120559233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 10204120559233 its reverse (33295502140201), we get a palindrome (43499622699434).

The spelling of 10204120559233 in words is "ten trillion, two hundred four billion, one hundred twenty million, five hundred fifty-nine thousand, two hundred thirty-three".