122201012022121 has 2 divisors, whose sum is σ = 122201012022122. Its totient is φ = 122201012022120.

The previous prime is 122201012022101. The next prime is 122201012022137. The reversal of 122201012022121 is 121220210102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115612729456896 + 6588282565225 = 10752336^2 + 2566765^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201012022121 - 2³¹ = 122198864538473 is a prime.

It is a super-2 number, since 2×122201012022121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201012022101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100506011060 + 61100506011061.

It is an arithmetic number, because the mean of its divisors is an integer number (61100506011061).

Almost surely, 2^{122201012022121} is an apocalyptic number.

It is an amenable number.

122201012022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201012022121 is an equidigital number, since it uses as much as digits as its factorization.

122201012022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122201012022121 its reverse (121220210102221), we get a palindrome (243421222124342).

The spelling of 122201012022121 in words is "one hundred twenty-two trillion, two hundred one billion, twelve million, twenty-two thousand, one hundred twenty-one".