2110221000000 has 588 divisors, whose sum is σ = 7766178794764. Its totient is φ = 547430400000.

The previous prime is 2110220999989. The next prime is 2110221000001. The reversal of 2110221000000 is 1220112.

It can be written as a sum of positive squares in 14 ways, for example, as 1954940868864 + 155280131136 = 1398192^2 + 394056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110221000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 332996832 + ... + 333003168.

Almost surely, 2^{2110221000000} is an apocalyptic number.

2110221000000 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 2110221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883089397382).

2110221000000 is an abundant number, since it is smaller than the sum of its proper divisors (5655957794764).

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

2110221000000 is an frugal number, since it uses more digits than its factorization.

2110221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2110221000000 its reverse (1220112), we get a palindrome (2110222220112).

The spelling of 2110221000000 in words is "two trillion, one hundred ten billion, two hundred twenty-one million", and thus it is an aban number.