21212110220000 has 480 divisors, whose sum is σ = 62483558860800. Its totient is φ = 6932977920000.

The previous prime is 21212110219999. The next prime is 21212110220047. The reversal of 21212110220000 is 2201121212.

It is a super-3 number, since 3×21212110220000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290743526 + ... + 290816474.

It is an arithmetic number, because the mean of its divisors is an integer number (130174080960).

Almost surely, 2^{21212110220000} is an apocalyptic number.

21212110220000 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 21212110220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31241779430400).

21212110220000 is an abundant number, since it is smaller than the sum of its proper divisors (41271448640800).

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

21212110220000 is an equidigital number, since it uses as much as digits as its factorization.

21212110220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73084 (or 73061 counting only the distinct ones).

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

Adding to 21212110220000 its reverse (2201121212), we get a palindrome (21214311341212).

The spelling of 21212110220000 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten million, two hundred twenty thousand".