100212002211200 has 384 divisors, whose sum is σ = 282030163200000. Its totient is φ = 34828089753600.

The previous prime is 100212002211199. The next prime is 100212002211221. The reversal of 100212002211200 is 2112200212001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011140849 + ... + 1011239951.

It is an arithmetic number, because the mean of its divisors is an integer number (734453550000).

Almost surely, 2^{100212002211200} is an apocalyptic number.

100212002211200 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 100212002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141015081600000).

100212002211200 is an abundant number, since it is smaller than the sum of its proper divisors (181818160988800).

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

100212002211200 is a wasteful number, since it uses less digits than its factorization.

100212002211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100410 (or 100393 counting only the distinct ones).

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

Adding to 100212002211200 its reverse (2112200212001), we get a palindrome (102324202423201).

The spelling of 100212002211200 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred eleven thousand, two hundred".