212221001100 has 144 divisors (see below), whose sum is σ = 650850905376. Its totient is φ = 53205504000.

The previous prime is 212221001099. The next prime is 212221001101. The reversal of 212221001100 is 1100122212.

It is an interprime number because it is at equal distance from previous prime (212221001099) and next prime (212221001101).

It is a super-3 number, since 3×212221001100³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212221001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4776990 + ... + 4821210.

It is an arithmetic number, because the mean of its divisors is an integer number (4519797954).

Almost surely, 2^212221001100 is an apocalyptic number.

212221001100 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 212221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325425452688).

212221001100 is an abundant number, since it is smaller than the sum of its proper divisors (438629904276).

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

212221001100 is a wasteful number, since it uses less digits than its factorization.

212221001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45196 (or 45189 counting only the distinct ones).

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

Adding to 212221001100 its reverse (1100122212), we get a palindrome (213321123312).

The spelling of 212221001100 in words is "two hundred twelve billion, two hundred twenty-one million, one thousand, one hundred".