2021012000 has 192 divisors, whose sum is σ = 5745841920. Its totient is φ = 684288000.

The previous prime is 2021011981. The next prime is 2021012009. The reversal of 2021012000 is 2101202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491595 + ... + 2492405.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 2^2021012000 is an apocalyptic number.

2021012000 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 2021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872920960).

2021012000 is an abundant number, since it is smaller than the sum of its proper divisors (3724829920).

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

2021012000 is an equidigital number, since it uses as much as digits as its factorization.

2021012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 914 counting only the distinct ones).

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

The square root of 2021012000 is about 44955.6670509959. The cubic root of 2021012000 is about 1264.3179312943.

Adding to 2021012000 its reverse (2101202), we get a palindrome (2023113202).

The spelling of 2021012000 in words is "two billion, twenty-one million, twelve thousand".