212012211201100 has 72 divisors (see below), whose sum is σ = 462870552513600. Its totient is φ = 84288487099200.

The previous prime is 212012211201001. The next prime is 212012211201191. The reversal of 212012211201100 is 1102112210212.

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 23 ways as a sum of consecutive naturals, for example, 32431615 + ... + 38416585.

It is an arithmetic number, because the mean of its divisors is an integer number (6428757673800).

Almost surely, 2^{212012211201100} is an apocalyptic number.

212012211201100 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 212012211201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231435276256800).

212012211201100 is an abundant number, since it is smaller than the sum of its proper divisors (250858341312500).

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

212012211201100 is a wasteful number, since it uses less digits than its factorization.

212012211201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987143 (or 5987136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212012211201100 its reverse (1102112210212), we get a palindrome (213114323411312).

The spelling of 212012211201100 in words is "two hundred twelve trillion, twelve billion, two hundred eleven million, two hundred one thousand, one hundred".