121112122133 has 2 divisors, whose sum is σ = 121112122134. Its totient is φ = 121112122132.

The previous prime is 121112122121. The next prime is 121112122267. The reversal of 121112122133 is 331221211121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84563476804 + 36548645329 = 290798^2 + 191177^2 .

It is an emirp because it is prime and its reverse (331221211121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121112122133 - 2¹⁴ = 121112105749 is a prime.

It is a super-2 number, since 2×121112122133² (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 (121112122633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556061066 + 60556061067.

It is an arithmetic number, because the mean of its divisors is an integer number (60556061067).

Almost surely, 2^121112122133 is an apocalyptic number.

It is an amenable number.

121112122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112122133 is an equidigital number, since it uses as much as digits as its factorization.

121112122133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

Adding to 121112122133 its reverse (331221211121), we get a palindrome (452333333254).

The spelling of 121112122133 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".