1000221021120 has 224 divisors, whose sum is σ = 3238004736576. Its totient is φ = 261520588800.

The previous prime is 1000221021083. The next prime is 1000221021139. The reversal of 1000221021120 is 211201220001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000221021096 and 1000221021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18536580 + ... + 18590460.

Almost surely, 2^{1000221021120} is an apocalyptic number.

1000221021120 is a gapful number since it is divisible by the number (10) 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 1000221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619002368288).

1000221021120 is an abundant number, since it is smaller than the sum of its proper divisors (2237783715456).

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

1000221021120 is a wasteful number, since it uses less digits than its factorization.

1000221021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54279 (or 54269 counting only the distinct ones).

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

Adding to 1000221021120 its reverse (211201220001), we get a palindrome (1211422241121).

The spelling of 1000221021120 in words is "one trillion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".