21163523453201 has 2 divisors, whose sum is σ = 21163523453202. Its totient is φ = 21163523453200.

The previous prime is 21163523453179. The next prime is 21163523453207. The reversal of 21163523453201 is 10235432536112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12412931193601 + 8750592259600 = 3523199^2 + 2958140^2 .

It is a cyclic number.

It is not a de Polignac number, because 21163523453201 - 2³⁸ = 20888645546257 is a prime.

It is not a weakly prime, because it can be changed into another prime (21163523453207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10581761726600 + 10581761726601.

It is an arithmetic number, because the mean of its divisors is an integer number (10581761726601).

Almost surely, 2^{21163523453201} is an apocalyptic number.

It is an amenable number.

21163523453201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21163523453201 is an equidigital number, since it uses as much as digits as its factorization.

21163523453201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 21163523453201 its reverse (10235432536112), we get a palindrome (31398955989313).

The spelling of 21163523453201 in words is "twenty-one trillion, one hundred sixty-three billion, five hundred twenty-three million, four hundred fifty-three thousand, two hundred one".