120133330100001 has 6 divisors (see below), whose sum is σ = 173525921255570. Its totient is φ = 80088886733328.

The previous prime is 120133330099969. The next prime is 120133330100023. The reversal of 120133330100001 is 100001033331021.

It is a happy number.

120133330100001 is a `hidden beast` number, since 1 + 201 + 33 + 330 + 100 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118721508483600 + 1411821616401 = 10895940^2 + 1188201^2 .

It is not a de Polignac number, because 120133330100001 - 2⁵ = 120133330099969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120133380100001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6674073894436 + ... + 6674073894453.

Almost surely, 2^{120133330100001} is an apocalyptic number.

It is an amenable number.

120133330100001 is a deficient number, since it is larger than the sum of its proper divisors (53392591155569).

120133330100001 is a wasteful number, since it uses less digits than its factorization.

120133330100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348147788895 (or 13348147788892 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120133330100001 its reverse (100001033331021), we get a palindrome (220134363431022).

The spelling of 120133330100001 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred thirty million, one hundred thousand, one".