122110012122121 has 2 divisors, whose sum is σ = 122110012122122. Its totient is φ = 122110012122120.

The previous prime is 122110012122103. The next prime is 122110012122167. The reversal of 122110012122121 is 121221210011221.

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., 76512878042896 + 45597134079225 = 8747164^2 + 6752565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122110012122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (122110012122181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055006061060 + 61055006061061.

It is an arithmetic number, because the mean of its divisors is an integer number (61055006061061).

Almost surely, 2^{122110012122121} is an apocalyptic number.

It is an amenable number.

122110012122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110012122121 is an equidigital number, since it uses as much as digits as its factorization.

122110012122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122110012122121 its reverse (121221210011221), we get a palindrome (243331222133342).

The spelling of 122110012122121 in words is "one hundred twenty-two trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".