120110122001 has 16 divisors (see below), whose sum is σ = 124477302096. Its totient is φ = 115831812096.

The previous prime is 120110121997. The next prime is 120110122031. The reversal of 120110122001 is 100221011021.

It can be written as a sum of positive squares in 8 ways, for example, as 1378191376 + 118731930625 = 37124^2 + 344575^2 .

It is not a de Polignac number, because 120110122001 - 2² = 120110121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120110122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080641 + ... + 1186593.

It is an arithmetic number, because the mean of its divisors is an integer number (7779831381).

Almost surely, 2^120110122001 is an apocalyptic number.

It is an amenable number.

120110122001 is a deficient number, since it is larger than the sum of its proper divisors (4367180095).

120110122001 is a wasteful number, since it uses less digits than its factorization.

120110122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106372.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120110122001 its reverse (100221011021), we get a palindrome (220331133022).

The spelling of 120110122001 in words is "one hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, one".