10204101266521 has 2 divisors, whose sum is σ = 10204101266522. Its totient is φ = 10204101266520.

The previous prime is 10204101266519. The next prime is 10204101266539. The reversal of 10204101266521 is 12566210140201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10163573537296 + 40527729225 = 3188036^2 + 201315^2 .

It is a cyclic number.

It is not a de Polignac number, because 10204101266521 - 2¹ = 10204101266519 is a prime.

Together with 10204101266519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10204101266591) 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, 5102050633260 + 5102050633261.

It is an arithmetic number, because the mean of its divisors is an integer number (5102050633261).

Almost surely, 2^{10204101266521} is an apocalyptic number.

It is an amenable number.

10204101266521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204101266521 is an equidigital number, since it uses as much as digits as its factorization.

10204101266521 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 31.

The spelling of 10204101266521 in words is "ten trillion, two hundred four billion, one hundred one million, two hundred sixty-six thousand, five hundred twenty-one".