120300100222133 has 12 divisors (see below), whose sum is σ = 130399121611908. Its totient is φ = 110932585770240.

The previous prime is 120300100222117. The next prime is 120300100222151. The reversal of 120300100222133 is 331222001003021.

It can be written as a sum of positive squares in 6 ways, for example, as 18365128324 + 120281735093809 = 135518^2 + 10967303^2 .

It is not a de Polignac number, because 120300100222133 - 2⁴ = 120300100222117 is a prime.

It is a super-2 number, since 2×120300100222133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300100222103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364131158 + ... + 364461383.

It is an arithmetic number, because the mean of its divisors is an integer number (10866593467659).

Almost surely, 2^{120300100222133} is an apocalyptic number.

120300100222133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120300100222133 is a deficient number, since it is larger than the sum of its proper divisors (10099021389775).

120300100222133 is an equidigital number, since it uses as much as digits as its factorization.

120300100222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728593544 (or 728593531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120300100222133 its reverse (331222001003021), we get a palindrome (451522101225154).

The spelling of 120300100222133 in words is "one hundred twenty trillion, three hundred billion, one hundred million, two hundred twenty-two thousand, one hundred thirty-three".