121133212333201 has 2 divisors, whose sum is σ = 121133212333202. Its totient is φ = 121133212333200.

The previous prime is 121133212333183. The next prime is 121133212333241. The reversal of 121133212333201 is 102333212331121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104646762090000 + 16486450243201 = 10229700^2 + 4060351^2 .

It is an emirp because it is prime and its reverse (102333212331121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121133212333201 - 2⁹ = 121133212332689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121133212333201.

It is not a weakly prime, because it can be changed into another prime (121133212333241) 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, 60566606166600 + 60566606166601.

It is an arithmetic number, because the mean of its divisors is an integer number (60566606166601).

Almost surely, 2^{121133212333201} is an apocalyptic number.

It is an amenable number.

121133212333201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121133212333201 is an equidigital number, since it uses as much as digits as its factorization.

121133212333201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 121133212333201 its reverse (102333212331121), we get a palindrome (223466424664322).

The spelling of 121133212333201 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, two hundred twelve million, three hundred thirty-three thousand, two hundred one".