12100010112 has 192 divisors, whose sum is σ = 36861739200. Its totient is φ = 3803240448.

The previous prime is 12100010101. The next prime is 12100010113. The reversal of 12100010112 is 21101000121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12100010094 and 12100010103.

It is not an unprimeable number, because it can be changed into a prime (12100010113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432333 + ... + 1440755.

It is an arithmetic number, because the mean of its divisors is an integer number (191988225).

Almost surely, 2^12100010112 is an apocalyptic number.

12100010112 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 12100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430869600).

12100010112 is an abundant number, since it is smaller than the sum of its proper divisors (24761729088).

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

12100010112 is a wasteful number, since it uses less digits than its factorization.

12100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12100010112 its reverse (21101000121), we get a palindrome (33201010233).

Subtracting 12100010112 from its reverse (21101000121), we obtain a palindrome (9000990009).

The spelling of 12100010112 in words is "twelve billion, one hundred million, ten thousand, one hundred twelve".