121201303312129 has 2 divisors, whose sum is σ = 121201303312130. Its totient is φ = 121201303312128.

The previous prime is 121201303312123. The next prime is 121201303312139. The reversal of 121201303312129 is 921213303102121.

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., 64282230464400 + 56919072847729 = 8017620^2 + 7544473^2 .

It is an emirp because it is prime and its reverse (921213303102121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121201303312129 - 2¹³ = 121201303303937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121201303312129.

It is not a weakly prime, because it can be changed into another prime (121201303312123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60600651656064 + 60600651656065.

It is an arithmetic number, because the mean of its divisors is an integer number (60600651656065).

Almost surely, 2^{121201303312129} is an apocalyptic number.

It is an amenable number.

121201303312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

121201303312129 is an equidigital number, since it uses as much as digits as its factorization.

121201303312129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 121201303312129 in words is "one hundred twenty-one trillion, two hundred one billion, three hundred three million, three hundred twelve thousand, one hundred twenty-nine".