12210221123100 has 864 divisors, whose sum is σ = 52775499818496. Its totient is φ = 2278716364800.

The previous prime is 12210221123081. The next prime is 12210221123129. The reversal of 12210221123100 is 132112201221.

12210221123100 is a `hidden beast` number, since 1 + 2 + 210 + 221 + 1 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×12210221123100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33150147 + ... + 33516453.

Almost surely, 2^{12210221123100} is an apocalyptic number.

12210221123100 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 12210221123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387749909248).

12210221123100 is an abundant number, since it is smaller than the sum of its proper divisors (40565278695396).

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

12210221123100 is a wasteful number, since it uses less digits than its factorization.

12210221123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366395 (or 366385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12210221123100 its reverse (132112201221), we get a palindrome (12342333324321).

It can be divided in two parts, 12210221 and 123100, that added together give a palindrome (12333321).

The spelling of 12210221123100 in words is "twelve trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred".