2021033010100 has 72 divisors (see below), whose sum is σ = 4787697517400. Its totient is φ = 736005242880.

The previous prime is 2021033010083. The next prime is 2021033010109. The reversal of 2021033010100 is 10103301202.

It can be written as a sum of positive squares in 12 ways, for example, as 968874050596 + 1052158959504 = 984314^2 + 1025748^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021033010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10553325 + ... + 10743124.

Almost surely, 2^{2021033010100} is an apocalyptic number.

2021033010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021033010100 is an abundant number, since it is smaller than the sum of its proper divisors (2766664507300).

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

2021033010100 is a wasteful number, since it uses less digits than its factorization.

2021033010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21296549 (or 21296542 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2021033010100 its reverse (10103301202), we get a palindrome (2031136311302).

The spelling of 2021033010100 in words is "two trillion, twenty-one billion, thirty-three million, ten thousand, one hundred".