12122102200100 has 144 divisors (see below), whose sum is σ = 27998487107136. Its totient is φ = 4539701760000.

The previous prime is 12122102200099. The next prime is 12122102200141. The reversal of 12122102200100 is 100220122121.

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, 432131075 + ... + 432159125.

It is an arithmetic number, because the mean of its divisors is an integer number (194433938244).

Almost surely, 2^{12122102200100} is an apocalyptic number.

12122102200100 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 12122102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999243553568).

12122102200100 is an abundant number, since it is smaller than the sum of its proper divisors (15876384907036).

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

12122102200100 is a wasteful number, since it uses less digits than its factorization.

12122102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29406 (or 29399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122102200100 its reverse (100220122121), we get a palindrome (12222322322221).

The spelling of 12122102200100 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, one hundred".