110211221000000 has 392 divisors, whose sum is σ = 294916478302008. Its totient is φ = 40708096000000.

The previous prime is 110211220999967. The next prime is 110211221000059. The reversal of 110211221000000 is 122112011.

It can be written as a sum of positive squares in 28 ways, for example, as 71039544822016 + 39171676177984 = 8428496^2 + 6258728^2 .

It is a super-3 number, since 3×110211221000000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 900938840 + ... + 901061160.

Almost surely, 2^{110211221000000} is an apocalyptic number.

110211221000000 is a gapful number since it is divisible by the number (10) 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 110211221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147458239151004).

110211221000000 is an abundant number, since it is smaller than the sum of its proper divisors (184705257302008).

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

110211221000000 is an frugal number, since it uses more digits than its factorization.

110211221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122433 (or 122398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110211221000000 its reverse (122112011), we get a palindrome (110211343112011).

The spelling of 110211221000000 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twenty-one million", and thus it is an aban number.