2221010010112 has 240 divisors, whose sum is σ = 4655669573632. Its totient is φ = 1058657402880.

The previous prime is 2221010010097. The next prime is 2221010010173. The reversal of 2221010010112 is 2110100101222.

It is a junction number, because it is equal to n+sod(n) for n = 2221010010092 and 2221010010101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9959686033 + ... + 9959686255.

Almost surely, 2^{2221010010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327834786816).

2221010010112 is an abundant number, since it is smaller than the sum of its proper divisors (2434659563520).

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

2221010010112 is an equidigital number, since it uses as much as digits as its factorization.

2221010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2221010010112 its reverse (2110100101222), we get a palindrome (4331110111334).

The spelling of 2221010010112 in words is "two trillion, two hundred twenty-one billion, ten million, ten thousand, one hundred twelve".