221657273332129 has 2 divisors, whose sum is σ = 221657273332130. Its totient is φ = 221657273332128.

The previous prime is 221657273332063. The next prime is 221657273332139. The reversal of 221657273332129 is 921233372756122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221600141337600 + 57131994529 = 14886240^2 + 239023^2 .

It is a cyclic number.

It is not a de Polignac number, because 221657273332129 - 2⁹ = 221657273331617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221657273332129.

It is not a weakly prime, because it can be changed into another prime (221657273332139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110828636666064 + 110828636666065.

It is an arithmetic number, because the mean of its divisors is an integer number (110828636666065).

Almost surely, 2^{221657273332129} is an apocalyptic number.

It is an amenable number.

221657273332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221657273332129 is an equidigital number, since it uses as much as digits as its factorization.

221657273332129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11430720, while the sum is 55.

The spelling of 221657273332129 in words is "two hundred twenty-one trillion, six hundred fifty-seven billion, two hundred seventy-three million, three hundred thirty-two thousand, one hundred twenty-nine".