1002020021120 has 128 divisors (see below), whose sum is σ = 2408305068000. Its totient is φ = 398661378048.

The previous prime is 1002020021083. The next prime is 1002020021143. The reversal of 1002020021120 is 211200202001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180119459 + ... + 180125021.

Almost surely, 2^{1002020021120} is an apocalyptic number.

1002020021120 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 1002020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204152534000).

1002020021120 is an abundant number, since it is smaller than the sum of its proper divisors (1406285046880).

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

1002020021120 is a wasteful number, since it uses less digits than its factorization.

1002020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002020021120 its reverse (211200202001), we get a palindrome (1213220223121).

The spelling of 1002020021120 in words is "one trillion, two billion, twenty million, twenty-one thousand, one hundred twenty".