1000221100112 has 120 divisors (see below), whose sum is σ = 2149368994080. Its totient is φ = 450569433600.

The previous prime is 1000221100111. The next prime is 1000221100121. The reversal of 1000221100112 is 2110011220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000221100093 and 1000221100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000221100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19721987 + ... + 19772637.

It is an arithmetic number, because the mean of its divisors is an integer number (17911408284).

Almost surely, 2^{1000221100112} 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 1000221100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074684497040).

1000221100112 is an abundant number, since it is smaller than the sum of its proper divisors (1149147893968).

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

1000221100112 is a wasteful number, since it uses less digits than its factorization.

1000221100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50861 (or 50842 counting only the distinct ones).

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

Adding to 1000221100112 its reverse (2110011220001), we get a palindrome (3110232320113).

The spelling of 1000221100112 in words is "one trillion, two hundred twenty-one million, one hundred thousand, one hundred twelve".