120121021102133 has 8 divisors (see below), whose sum is σ = 120613897513368. Its totient is φ = 119628342206464.

The previous prime is 120121021102129. The next prime is 120121021102151. The reversal of 120121021102133 is 331201120121021.

It can be written as a sum of positive squares in 4 ways, for example, as 35870780165284 + 84250240936849 = 5989222^2 + 9178793^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120121021102133 - 2² = 120121021102129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121021102183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48160016 + ... + 50592777.

It is an arithmetic number, because the mean of its divisors is an integer number (15076737189171).

Almost surely, 2^{120121021102133} is an apocalyptic number.

It is an amenable number.

120121021102133 is a deficient number, since it is larger than the sum of its proper divisors (492876411235).

120121021102133 is an equidigital number, since it uses as much as digits as its factorization.

120121021102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98757783.

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

Adding to 120121021102133 its reverse (331201120121021), we get a palindrome (451322141223154).

The spelling of 120121021102133 in words is "one hundred twenty trillion, one hundred twenty-one billion, twenty-one million, one hundred two thousand, one hundred thirty-three".