122101323133 has 2 divisors, whose sum is σ = 122101323134. Its totient is φ = 122101323132.

The previous prime is 122101323103. The next prime is 122101323161. The reversal of 122101323133 is 331323101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105584703844 + 16516619289 = 324938^2 + 128517^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101323133 - 2⁵ = 122101323101 is a prime.

It is a super-2 number, since 2×122101323133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101323103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050661566 + 61050661567.

It is an arithmetic number, because the mean of its divisors is an integer number (61050661567).

Almost surely, 2^122101323133 is an apocalyptic number.

It is an amenable number.

122101323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101323133 is an equidigital number, since it uses as much as digits as its factorization.

122101323133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122101323133 its reverse (331323101221), we get a palindrome (453424424354).

The spelling of 122101323133 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-three thousand, one hundred thirty-three".