12101021001257 has 2 divisors, whose sum is σ = 12101021001258. Its totient is φ = 12101021001256.

The previous prime is 12101021001203. The next prime is 12101021001313. The reversal of 12101021001257 is 75210012010121.

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., 11484263656336 + 616757344921 = 3388844^2 + 785339^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101021001257 - 2²⁸ = 12100752565801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101021001757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050510500628 + 6050510500629.

It is an arithmetic number, because the mean of its divisors is an integer number (6050510500629).

Almost surely, 2^{12101021001257} is an apocalyptic number.

It is an amenable number.

12101021001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101021001257 is an equidigital number, since it uses as much as digits as its factorization.

12101021001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 12101021001257 its reverse (75210012010121), we get a palindrome (87311033011378).

The spelling of 12101021001257 in words is "twelve trillion, one hundred one billion, twenty-one million, one thousand, two hundred fifty-seven".