12021201112100 has 36 divisors (see below), whose sum is σ = 26086300127748. Its totient is φ = 4808426304000.

The previous prime is 12021201112099. The next prime is 12021201112121. The reversal of 12021201112100 is 121110212021.

12021201112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1056640036 + 12020144472064 = 32506^2 + 3467008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8927120 + ... + 10185080.

It is an arithmetic number, because the mean of its divisors is an integer number (724619447993).

Almost surely, 2^{12021201112100} is an apocalyptic number.

12021201112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021201112100 is an abundant number, since it is smaller than the sum of its proper divisors (14065099015648).

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

12021201112100 is a wasteful number, since it uses less digits than its factorization.

12021201112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353536 (or 1353529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12021201112100 its reverse (121110212021), we get a palindrome (12142311324121).

The spelling of 12021201112100 in words is "twelve trillion, twenty-one billion, two hundred one million, one hundred twelve thousand, one hundred".