10120300331121 has 12 divisors (see below), whose sum is σ = 14618250021648. Its totient is φ = 6746849149464.

The previous prime is 10120300331069. The next prime is 10120300331137. The reversal of 10120300331121 is 12113300302101.

10120300331121 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 300 + 331 + 12 + 1 = 666.

It is not a de Polignac number, because 10120300331121 - 2³⁴ = 10103120461937 is a prime.

It is a super-2 number, since 2×10120300331121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120300331094 and 10120300331103.

It is not an unprimeable number, because it can be changed into a prime (10120300331821) 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, 2781286 + ... + 5289248.

It is an arithmetic number, because the mean of its divisors is an integer number (1218187501804).

Almost surely, 2^{10120300331121} is an apocalyptic number.

It is an amenable number.

10120300331121 is a deficient number, since it is larger than the sum of its proper divisors (4497949690527).

10120300331121 is a wasteful number, since it uses less digits than its factorization.

10120300331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956332 (or 2956329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10120300331121 its reverse (12113300302101), we get a palindrome (22233600633222).

The spelling of 10120300331121 in words is "ten trillion, one hundred twenty billion, three hundred million, three hundred thirty-one thousand, one hundred twenty-one".