12001110101100 has 360 divisors, whose sum is σ = 40665988772640. Its totient is φ = 3055745848320.

The previous prime is 12001110101093. The next prime is 12001110101111. The reversal of 12001110101100 is 110101110021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105948094 + ... + 106061306.

It is an arithmetic number, because the mean of its divisors is an integer number (112961079924).

Almost surely, 2^{12001110101100} is an apocalyptic number.

12001110101100 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 12001110101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332994386320).

12001110101100 is an abundant number, since it is smaller than the sum of its proper divisors (28664878671540).

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

12001110101100 is a wasteful number, since it uses less digits than its factorization.

12001110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113831 (or 113815 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12001110101100 its reverse (110101110021), we get a palindrome (12111211211121).

The spelling of 12001110101100 in words is "twelve trillion, one billion, one hundred ten million, one hundred one thousand, one hundred".