121002121122133 has 2 divisors, whose sum is σ = 121002121122134. Its totient is φ = 121002121122132.

The previous prime is 121002121122119. The next prime is 121002121122149. The reversal of 121002121122133 is 331221121200121.

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., 101891601774769 + 19110519347364 = 10094137^2 + 4371558^2 .

It is a cyclic number.

It is not a de Polignac number, because 121002121122133 - 2⁵ = 121002121122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121002121122173) 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, 60501060561066 + 60501060561067.

It is an arithmetic number, because the mean of its divisors is an integer number (60501060561067).

Almost surely, 2^{121002121122133} is an apocalyptic number.

It is an amenable number.

121002121122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

121002121122133 is an equidigital number, since it uses as much as digits as its factorization.

121002121122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 121002121122133 its reverse (331221121200121), we get a palindrome (452223242322254).

The spelling of 121002121122133 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-three".