2021112100 has 72 divisors (see below), whose sum is σ = 5024539520. Its totient is φ = 691269120.

The previous prime is 2021112047. The next prime is 2021112103. The reversal of 2021112100 is 12111202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2021112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304012 + ... + 310588.

Almost surely, 2^2021112100 is an apocalyptic number.

2021112100 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 2021112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512269760).

2021112100 is an abundant number, since it is smaller than the sum of its proper divisors (3003427420).

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

2021112100 is a wasteful number, since it uses less digits than its factorization.

2021112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2021112100 is about 44956.7803562488. The cubic root of 2021112100 is about 1264.3388046876.

Adding to 2021112100 its reverse (12111202), we get a palindrome (2033223302).

The spelling of 2021112100 in words is "two billion, twenty-one million, one hundred twelve thousand, one hundred".