122121100202137 has 2 divisors, whose sum is σ = 122121100202138. Its totient is φ = 122121100202136.

The previous prime is 122121100202099. The next prime is 122121100202161. The reversal of 122121100202137 is 731202001121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107690036419161 + 14431063782976 = 10377381^2 + 3798824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122121100202137 is a prime.

It is a super-2 number, since 2×122121100202137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122121100202837) 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, 61060550101068 + 61060550101069.

It is an arithmetic number, because the mean of its divisors is an integer number (61060550101069).

Almost surely, 2^{122121100202137} is an apocalyptic number.

It is an amenable number.

122121100202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121100202137 is an equidigital number, since it uses as much as digits as its factorization.

122121100202137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 122121100202137 its reverse (731202001121221), we get a palindrome (853323101323358).

The spelling of 122121100202137 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred thirty-seven".