212211110200100 has 216 divisors, whose sum is σ = 528213514046400. Its totient is φ = 73807124652800.

The previous prime is 212211110200099. The next prime is 212211110200153. The reversal of 212211110200100 is 1002011112212.

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, 6401718326 + ... + 6401751474.

It is an arithmetic number, because the mean of its divisors is an integer number (2445432935400).

Almost surely, 2^{212211110200100} is an apocalyptic number.

212211110200100 is a gapful number since it is divisible by the number (20) 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 212211110200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264106757023200).

212211110200100 is an abundant number, since it is smaller than the sum of its proper divisors (316002403846300).

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

212211110200100 is a wasteful number, since it uses less digits than its factorization.

212211110200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56211 (or 56193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212211110200100 its reverse (1002011112212), we get a palindrome (213213121312312).

The spelling of 212211110200100 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred ten million, two hundred thousand, one hundred".