1020021120 has 128 divisors (see below), whose sum is σ = 3612636000. Its totient is φ = 272001024.

The previous prime is 1020020983. The next prime is 1020021127. The reversal of 1020021120 is 211200201.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12235 + ... + 46794.

Almost surely, 2^1020021120 is an apocalyptic number.

1020021120 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 1020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806318000).

1020021120 is an abundant number, since it is smaller than the sum of its proper divisors (2592614880).

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

1020021120 is an equidigital number, since it uses as much as digits as its factorization.

1020021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59057 (or 59039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020021120 is about 31937.7694900568. The cubic root of 1020021120 is about 1006.6296571826.

Adding to 1020021120 its reverse (211200201), we get a palindrome (1231221321).

The spelling of 1020021120 in words is "one billion, twenty million, twenty-one thousand, one hundred twenty".