10131230112201 has 72 divisors (see below), whose sum is σ = 16123763565000. Its totient is φ = 6125473221120.

The previous prime is 10131230112161. The next prime is 10131230112251. The reversal of 10131230112201 is 10221103213101.

10131230112201 is a `hidden beast` number, since 10 + 1 + 312 + 30 + 112 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3035612774601 + 7095617337600 = 1742301^2 + 2663760^2 .

It is not a de Polignac number, because 10131230112201 - 2³⁰ = 10130156370377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10131230112251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207676115 + ... + 1207684503.

It is an arithmetic number, because the mean of its divisors is an integer number (223941160625).

Almost surely, 2^{10131230112201} is an apocalyptic number.

10131230112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131230112201 is a deficient number, since it is larger than the sum of its proper divisors (5992533452799).

10131230112201 is a wasteful number, since it uses less digits than its factorization.

10131230112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10921 counting only the distinct ones).

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

Adding to 10131230112201 its reverse (10221103213101), we get a palindrome (20352333325302).

The spelling of 10131230112201 in words is "ten trillion, one hundred thirty-one billion, two hundred thirty million, one hundred twelve thousand, two hundred one".