121222121220257 has 2 divisors, whose sum is σ = 121222121220258. Its totient is φ = 121222121220256.

The previous prime is 121222121220169. The next prime is 121222121220259. The reversal of 121222121220257 is 752022121222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118533715007761 + 2688406212496 = 10887319^2 + 1639636^2 .

It is a cyclic number.

It is not a de Polignac number, because 121222121220257 - 2¹⁴ = 121222121203873 is a prime.

Together with 121222121220259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121222121220259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60611060610128 + 60611060610129.

It is an arithmetic number, because the mean of its divisors is an integer number (60611060610129).

Almost surely, 2^{121222121220257} is an apocalyptic number.

It is an amenable number.

121222121220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

121222121220257 is an equidigital number, since it uses as much as digits as its factorization.

121222121220257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 121222121220257 its reverse (752022121222121), we get a palindrome (873244242442378).

The spelling of 121222121220257 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred fifty-seven".