36402123016121 has 2 divisors, whose sum is σ = 36402123016122. Its totient is φ = 36402123016120.

The previous prime is 36402123016109. The next prime is 36402123016141. The reversal of 36402123016121 is 12161032120463.

36402123016121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24114041466025 + 12288081550096 = 4910605^2 + 3505436^2 .

It is a cyclic number.

It is not a de Polignac number, because 36402123016121 - 2¹⁸ = 36402122753977 is a prime.

It is a super-2 number, since 2×36402123016121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36402123016141) 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, 18201061508060 + 18201061508061.

It is an arithmetic number, because the mean of its divisors is an integer number (18201061508061).

Almost surely, 2^{36402123016121} is an apocalyptic number.

It is an amenable number.

36402123016121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36402123016121 is an equidigital number, since it uses as much as digits as its factorization.

36402123016121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 36402123016121 its reverse (12161032120463), we get a palindrome (48563155136584).

The spelling of 36402123016121 in words is "thirty-six trillion, four hundred two billion, one hundred twenty-three million, sixteen thousand, one hundred twenty-one".