12201210012100 has 72 divisors (see below), whose sum is σ = 27151918416000. Its totient is φ = 4756265222400.

The previous prime is 12201210012073. The next prime is 12201210012137. The reversal of 12201210012100 is 121001210221.

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 23 ways as a sum of consecutive naturals, for example, 2148801 + ... + 5386999.

It is an arithmetic number, because the mean of its divisors is an integer number (377109978000).

Almost surely, 2^{12201210012100} is an apocalyptic number.

12201210012100 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 12201210012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575959208000).

12201210012100 is an abundant number, since it is smaller than the sum of its proper divisors (14950708403900).

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

12201210012100 is a wasteful number, since it uses less digits than its factorization.

12201210012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239173 (or 3239166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201210012100 its reverse (121001210221), we get a palindrome (12322211222321).

The spelling of 12201210012100 in words is "twelve trillion, two hundred one billion, two hundred ten million, twelve thousand, one hundred".