12100120100112 has 320 divisors, whose sum is σ = 35623300819968. Its totient is φ = 3506436864000.

The previous prime is 12100120100069. The next prime is 12100120100113. The reversal of 12100120100112 is 21100102100121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12100120100113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986554187 + ... + 1986560277.

Almost surely, 2^{12100120100112} is an apocalyptic number.

12100120100112 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 12100120100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811650409984).

12100120100112 is an abundant number, since it is smaller than the sum of its proper divisors (23523180719856).

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

12100120100112 is a wasteful number, since it uses less digits than its factorization.

12100120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100120100112 its reverse (21100102100121), we get a palindrome (33200222200233).

Subtracting 12100120100112 from its reverse (21100102100121), we obtain a square (8999982000009 = 2999997²).

The spelling of 12100120100112 in words is "twelve trillion, one hundred billion, one hundred twenty million, one hundred thousand, one hundred twelve".