2212102021120 has 112 divisors (see below), whose sum is σ = 5311048410648. Its totient is φ = 884452884480.

The previous prime is 2212102021069. The next prime is 2212102021133. The reversal of 2212102021120 is 211202012122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1910498955264 + 301603065856 = 1382208^2 + 549184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212102021094 and 2212102021103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104724160 + ... + 104745280.

Almost surely, 2^{2212102021120} is an apocalyptic number.

2212102021120 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 2212102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655524205324).

2212102021120 is an abundant number, since it is smaller than the sum of its proper divisors (3098946389528).

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

2212102021120 is an equidigital number, since it uses as much as digits as its factorization.

2212102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23709 (or 23685 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212102021120 its reverse (211202012122), we get a palindrome (2423304033242).

The spelling of 2212102021120 in words is "two trillion, two hundred twelve billion, one hundred two million, twenty-one thousand, one hundred twenty".