12102222001100 has 288 divisors, whose sum is σ = 33834306465792. Its totient is φ = 3646540800000.

The previous prime is 12102222001081. The next prime is 12102222001151. The reversal of 12102222001100 is 110022220121.

It is a super-3 number, since 3×12102222001100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 95 ways as a sum of consecutive naturals, for example, 227454500 + ... + 227507700.

It is an arithmetic number, because the mean of its divisors is an integer number (117480230784).

Almost surely, 2^{12102222001100} is an apocalyptic number.

12102222001100 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 12102222001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917153232896).

12102222001100 is an abundant number, since it is smaller than the sum of its proper divisors (21732084464692).

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

12102222001100 is a wasteful number, since it uses less digits than its factorization.

12102222001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54217 (or 54210 counting only the distinct ones).

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

Adding to 12102222001100 its reverse (110022220121), we get a palindrome (12212244221221).

It can be divided in two parts, 121022 and 22001100, that added together give a palindrome (22122122).

The spelling of 12102222001100 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, one thousand, one hundred".