12100200221100 has 144 divisors (see below), whose sum is σ = 35536784611328. Its totient is φ = 3178172194560.

The previous prime is 12100200221027. The next prime is 12100200221141. The reversal of 12100200221100 is 112200200121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188847669 + ... + 188911731.

Almost surely, 2^{12100200221100} is an apocalyptic number.

12100200221100 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 12100200221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768392305664).

12100200221100 is an abundant number, since it is smaller than the sum of its proper divisors (23436584390228).

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

12100200221100 is a wasteful number, since it uses less digits than its factorization.

12100200221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73544 (or 73537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100200221100 its reverse (112200200121), we get a palindrome (12212400421221).

The spelling of 12100200221100 in words is "twelve trillion, one hundred billion, two hundred million, two hundred twenty-one thousand, one hundred".