212222201100 has 288 divisors, whose sum is σ = 757573178880. Its totient is φ = 44667279360.

The previous prime is 212222201021. The next prime is 212222201117. The reversal of 212222201100 is 1102222212.

212222201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212222201100.

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 95 ways as a sum of consecutive naturals, for example, 11429424 + ... + 11447976.

Almost surely, 2^212222201100 is an apocalyptic number.

212222201100 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 212222201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378786589440).

212222201100 is an abundant number, since it is smaller than the sum of its proper divisors (545350977780).

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

212222201100 is a wasteful number, since it uses less digits than its factorization.

212222201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009 (or 19002 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212222201100 its reverse (1102222212), we get a palindrome (213324423312).

The spelling of 212222201100 in words is "two hundred twelve billion, two hundred twenty-two million, two hundred one thousand, one hundred".