12112100100100 has 288 divisors, whose sum is σ = 35308228628736. Its totient is φ = 3482941593600.

The previous prime is 12112100100097. The next prime is 12112100100131. The reversal of 12112100100100 is 100100121121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193462002 + ... + 193524598.

It is an arithmetic number, because the mean of its divisors is an integer number (122598016072).

Almost surely, 2^{12112100100100} is an apocalyptic number.

12112100100100 is a gapful number since it is divisible by the number (10) 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 12112100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654114314368).

12112100100100 is an abundant number, since it is smaller than the sum of its proper divisors (23196128528636).

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

12112100100100 is a wasteful number, since it uses less digits than its factorization.

12112100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64575 (or 64568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12112100100100 its reverse (100100121121), we get a palindrome (12212200221221).

It can be divided in two parts, 12112100 and 100100, that multiplied together give a square (1212421210000 = 1101100²).

The spelling of 12112100100100 in words is "twelve trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred".