12001112102100 has 288 divisors, whose sum is σ = 39918205071360. Its totient is φ = 2755311680000.

The previous prime is 12001112102039. The next prime is 12001112102227. The reversal of 12001112102100 is 120121110021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6883141 + ... + 8448659.

It is an arithmetic number, because the mean of its divisors is an integer number (138604878720).

Almost surely, 2^{12001112102100} is an apocalyptic number.

12001112102100 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 12001112102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959102535680).

12001112102100 is an abundant number, since it is smaller than the sum of its proper divisors (27917092969260).

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

12001112102100 is a wasteful number, since it uses less digits than its factorization.

12001112102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565671 (or 1565664 counting only the distinct ones).

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

Adding to 12001112102100 its reverse (120121110021), we get a palindrome (12121233212121).

The spelling of 12001112102100 in words is "twelve trillion, one billion, one hundred twelve million, one hundred two thousand, one hundred".