10131103221120 has 192 divisors, whose sum is σ = 39981675371040. Its totient is φ = 2315680727040.

The previous prime is 10131103221091. The next prime is 10131103221121. The reversal of 10131103221120 is 2112230113101.

10131103221120 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 0 + 322 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10131103221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131103221093 and 10131103221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131103221121) 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 23 ways as a sum of consecutive naturals, for example, 125593401 + ... + 125674040.

Almost surely, 2^{10131103221120} is an apocalyptic number.

10131103221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131103221120 is an abundant number, since it is smaller than the sum of its proper divisors (29850572149920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131103221120 is a wasteful number, since it uses less digits than its factorization.

10131103221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251267473 (or 251267458 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131103221120 its reverse (2112230113101), we get a palindrome (12243333334221).

The spelling of 10131103221120 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, two hundred twenty-one thousand, one hundred twenty".