2112220110000 has 1600 divisors, whose sum is σ = 9407323892736. Its totient is φ = 393984000000.

The previous prime is 2112220109953. The next prime is 2112220110067. The reversal of 2112220110000 is 110222112.

It is a super-2 number, since 2×2112220110000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1111109050 + ... + 1111110950.

Almost surely, 2^{2112220110000} is an apocalyptic number.

2112220110000 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 2112220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703661946368).

2112220110000 is an abundant number, since it is smaller than the sum of its proper divisors (7295103782736).

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

2112220110000 is a wasteful number, since it uses less digits than its factorization.

2112220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112220110000 its reverse (110222112), we get a palindrome (2112330332112).

The spelling of 2112220110000 in words is "two trillion, one hundred twelve billion, two hundred twenty million, one hundred ten thousand".