21727134004201 has 2 divisors, whose sum is σ = 21727134004202. Its totient is φ = 21727134004200.

The previous prime is 21727134004189. The next prime is 21727134004207. The reversal of 21727134004201 is 10240043172712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21551320675600 + 175813328601 = 4642340^2 + 419301^2 .

It is a cyclic number.

It is not a de Polignac number, because 21727134004201 - 2²⁹ = 21726597133289 is a prime.

It is not a weakly prime, because it can be changed into another prime (21727134004207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10863567002100 + 10863567002101.

It is an arithmetic number, because the mean of its divisors is an integer number (10863567002101).

Almost surely, 2^{21727134004201} is an apocalyptic number.

It is an amenable number.

21727134004201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21727134004201 is an equidigital number, since it uses as much as digits as its factorization.

21727134004201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

Adding to 21727134004201 its reverse (10240043172712), we get a palindrome (31967177176913).

The spelling of 21727134004201 in words is "twenty-one trillion, seven hundred twenty-seven billion, one hundred thirty-four million, four thousand, two hundred one".