1021001221120 has 352 divisors, whose sum is σ = 2731438195200. Its totient is φ = 364213960704.

The previous prime is 1021001221117. The next prime is 1021001221127. The reversal of 1021001221120 is 211221001201.

It is a super-2 number, since 2×1021001221120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1021001221120.

It is not an unprimeable number, because it can be changed into a prime (1021001221127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218206941 + ... + 218211619.

It is an arithmetic number, because the mean of its divisors is an integer number (7759767600).

Almost surely, 2^{1021001221120} is an apocalyptic number.

1021001221120 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 1021001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365719097600).

1021001221120 is an abundant number, since it is smaller than the sum of its proper divisors (1710436974080).

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

1021001221120 is a wasteful number, since it uses less digits than its factorization.

1021001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4835 counting only the distinct ones).

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

Adding to 1021001221120 its reverse (211221001201), we get a palindrome (1232222222321).

The spelling of 1021001221120 in words is "one trillion, twenty-one billion, one million, two hundred twenty-one thousand, one hundred twenty".