2021020100 has 72 divisors (see below), whose sum is σ = 4831940736. Its totient is φ = 727600000.

The previous prime is 2021020091. The next prime is 2021020147. The reversal of 2021020100 is 10201202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102005 + ... + 120195.

It is an arithmetic number, because the mean of its divisors is an integer number (67110288).

Almost surely, 2^2021020100 is an apocalyptic number.

2021020100 is a gapful number since it is divisible by the number (20) 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 2021020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415970368).

2021020100 is an abundant number, since it is smaller than the sum of its proper divisors (2810920636).

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

2021020100 is a wasteful number, since it uses less digits than its factorization.

2021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18317 (or 18310 counting only the distinct ones).

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

The square root of 2021020100 is about 44955.7571396590. The cubic root of 2021020100 is about 1264.3196203757.

Adding to 2021020100 its reverse (10201202), we get a palindrome (2031221302).

The spelling of 2021020100 in words is "two billion, twenty-one million, twenty thousand, one hundred".