12210212112100 has 108 divisors (see below), whose sum is σ = 28160794625040. Its totient is φ = 4594441433600.

The previous prime is 12210212112047. The next prime is 12210212112113. The reversal of 12210212112100 is 121121201221.

12210212112100 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 35 ways as a sum of consecutive naturals, for example, 57086355 + ... + 57299845.

It is an arithmetic number, because the mean of its divisors is an integer number (260748098380).

Almost surely, 2^{12210212112100} is an apocalyptic number.

12210212112100 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 12210212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080397312520).

12210212112100 is an abundant number, since it is smaller than the sum of its proper divisors (15950582512940).

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

12210212112100 is a wasteful number, since it uses less digits than its factorization.

12210212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215518 (or 215494 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210212112100 its reverse (121121201221), we get a palindrome (12331333313321).

The spelling of 12210212112100 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, one hundred twelve thousand, one hundred".