10131220112112 has 120 divisors (see below), whose sum is σ = 30941970503808. Its totient is φ = 3068970076800.

The previous prime is 10131220112089. The next prime is 10131220112129. The reversal of 10131220112112 is 21121102213101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3299037 + ... + 5580867.

Almost surely, 2^{10131220112112} is an apocalyptic number.

10131220112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131220112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470985251904).

10131220112112 is an abundant number, since it is smaller than the sum of its proper divisors (20810750391696).

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

10131220112112 is a wasteful number, since it uses less digits than its factorization.

10131220112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284659 (or 2284650 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10131220112112 its reverse (21121102213101), we get a palindrome (31252322325213).

The spelling of 10131220112112 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred twelve".