12110002121100 has 144 divisors (see below), whose sum is σ = 38107125050400. Its totient is φ = 2951409408000.

The previous prime is 12110002121083. The next prime is 12110002121111. The reversal of 12110002121100 is 112120001121.

12110002121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14978025 + ... + 15765824.

It is an arithmetic number, because the mean of its divisors is an integer number (264632812850).

Almost surely, 2^{12110002121100} is an apocalyptic number.

12110002121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110002121100 is an abundant number, since it is smaller than the sum of its proper divisors (25997122929300).

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

12110002121100 is a wasteful number, since it uses less digits than its factorization.

12110002121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30743980 (or 30743973 counting only the distinct ones).

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

Adding to 12110002121100 its reverse (112120001121), we get a palindrome (12222122122221).

It can be divided in two parts, 121100021 and 21100, that added together give a palindrome (121121121).

The spelling of 12110002121100 in words is "twelve trillion, one hundred ten billion, two million, one hundred twenty-one thousand, one hundred".