12201010012100 has 144 divisors (see below), whose sum is σ = 34502910922368. Its totient is φ = 3634276239360.

The previous prime is 12201010012073. The next prime is 12201010012111. The reversal of 12201010012100 is 121001010221.

12201010012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 39279722 + ... + 39589121.

It is an arithmetic number, because the mean of its divisors is an integer number (239603548072).

Almost surely, 2^{12201010012100} is an apocalyptic number.

12201010012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201010012100 is an abundant number, since it is smaller than the sum of its proper divisors (22301900910268).

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

12201010012100 is a wasteful number, since it uses less digits than its factorization.

12201010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78868894 (or 78868887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12201010012100 its reverse (121001010221), we get a palindrome (12322011022321).

The spelling of 12201010012100 in words is "twelve trillion, two hundred one billion, ten million, twelve thousand, one hundred".