122121100202161 has 2 divisors, whose sum is σ = 122121100202162. Its totient is φ = 122121100202160.

The previous prime is 122121100202137. The next prime is 122121100202203. The reversal of 122121100202161 is 161202001121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113892779267136 + 8228320935025 = 10672056^2 + 2868505^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121100202161 - 2⁹ = 122121100201649 is a prime.

It is a super-2 number, since 2×122121100202161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122121100202561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060550101080 + 61060550101081.

It is an arithmetic number, because the mean of its divisors is an integer number (61060550101081).

Almost surely, 2^{122121100202161} is an apocalyptic number.

It is an amenable number.

122121100202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121100202161 is an equidigital number, since it uses as much as digits as its factorization.

122121100202161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 122121100202161 its reverse (161202001121221), we get a palindrome (283323101323382).

The spelling of 122121100202161 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred sixty-one".