12100102200 has 288 divisors, whose sum is σ = 42579239040. Its totient is φ = 3073593600.

The previous prime is 12100102199. The next prime is 12100102219. The reversal of 12100102200 is 220100121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13702959 + ... + 13703841.

It is an arithmetic number, because the mean of its divisors is an integer number (147844580).

Almost surely, 2^12100102200 is an apocalyptic number.

12100102200 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 12100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289619520).

12100102200 is an abundant number, since it is smaller than the sum of its proper divisors (30479136840).

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

12100102200 is a wasteful number, since it uses less digits than its factorization.

12100102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100102200 its reverse (220100121), we get a palindrome (12320202321).

The spelling of 12100102200 in words is "twelve billion, one hundred million, one hundred two thousand, two hundred".