12110222202100 has 288 divisors, whose sum is σ = 31221561692160. Its totient is φ = 4028154624000.

The previous prime is 12110222202097. The next prime is 12110222202103. The reversal of 12110222202100 is 120222201121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12110222202097) and next prime (12110222202103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110222202103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286998604 + ... + 287040796.

It is an arithmetic number, because the mean of its divisors is an integer number (108408200320).

Almost surely, 2^{12110222202100} is an apocalyptic number.

12110222202100 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 12110222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610780846080).

12110222202100 is an abundant number, since it is smaller than the sum of its proper divisors (19111339490060).

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

12110222202100 is a wasteful number, since it uses less digits than its factorization.

12110222202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42711 (or 42704 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12110222202100 its reverse (120222201121), we get a palindrome (12230444403221).

The spelling of 12110222202100 in words is "twelve trillion, one hundred ten billion, two hundred twenty-two million, two hundred two thousand, one hundred".