120122110001 has 12 divisors (see below), whose sum is σ = 123164347500. Its totient is φ = 117153308160.

The previous prime is 120122109983. The next prime is 120122110013. The reversal of 120122110001 is 100011221021.

It can be written as a sum of positive squares in 6 ways, for example, as 74518080400 + 45604029601 = 272980^2 + 213551^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120122110001 is a prime.

It is a super-2 number, since 2×120122110001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120122110301) 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 in 11 ways as a sum of consecutive naturals, for example, 5922125 + ... + 5942373.

It is an arithmetic number, because the mean of its divisors is an integer number (10263695625).

Almost surely, 2^120122110001 is an apocalyptic number.

It is an amenable number.

120122110001 is a deficient number, since it is larger than the sum of its proper divisors (3042237499).

120122110001 is an equidigital number, since it uses as much as digits as its factorization.

120122110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23860 (or 23819 counting only the distinct ones).

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

Adding to 120122110001 its reverse (100011221021), we get a palindrome (220133331022).

The spelling of 120122110001 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred ten thousand, one".