12212220101100 has 288 divisors, whose sum is σ = 38165323262976. Its totient is φ = 3003966259200.

The previous prime is 12212220101099. The next prime is 12212220101183. The reversal of 12212220101100 is 110102221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212220101100.

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, 50834265 + ... + 51073935.

It is an arithmetic number, because the mean of its divisors is an integer number (132518483552).

Almost surely, 2^{12212220101100} is an apocalyptic number.

12212220101100 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 12212220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082661631488).

12212220101100 is an abundant number, since it is smaller than the sum of its proper divisors (25953103161876).

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

12212220101100 is a wasteful number, since it uses less digits than its factorization.

12212220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239905 (or 239898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212220101100 its reverse (110102221221), we get a palindrome (12322322322321).

The spelling of 12212220101100 in words is "twelve trillion, two hundred twelve billion, two hundred twenty million, one hundred one thousand, one hundred".