1020021300000 has 216 divisors, whose sum is σ = 3625628109012. Its totient is φ = 272005440000.

The previous prime is 1020021299911. The next prime is 1020021300017. The reversal of 1020021300000 is 31200201.

It is a happy number.

1020021300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 114181816464 + 905839483536 = 337908^2 + 951756^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333322 + ... + 1466678.

Almost surely, 2^{1020021300000} is an apocalyptic number.

1020021300000 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 1020021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812814054506).

1020021300000 is an abundant number, since it is smaller than the sum of its proper divisors (2605606809012).

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

1020021300000 is an equidigital number, since it uses as much as digits as its factorization.

1020021300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133398 (or 1133367 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020021300000 its reverse (31200201), we get a palindrome (1020052500201).

The spelling of 1020021300000 in words is "one trillion, twenty billion, twenty-one million, three hundred thousand".