201012020 has 72 divisors (see below), whose sum is σ = 486204768. Its totient is φ = 69220800.

The previous prime is 201011983. The next prime is 201012047. The reversal of 201012020 is 20210102.

201012020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

201012020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 201011989 and 201012007.

It is a congruent number.

It is an unprimeable number.

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, 78155 + ... + 80685.

It is an arithmetic number, because the mean of its divisors is an integer number (6752844).

Almost surely, 2^201012020 is an apocalyptic number.

201012020 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 201012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243102384).

201012020 is an abundant number, since it is smaller than the sum of its proper divisors (285192748).

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

201012020 is a wasteful number, since it uses less digits than its factorization.

201012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2568 counting only the distinct ones).

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

The square root of 201012020 is about 14177.8707851355. The cubic root of 201012020 is about 585.7882767068.

Adding to 201012020 its reverse (20210102), we get a palindrome (221222122).

The spelling of 201012020 in words is "two hundred one million, twelve thousand, twenty".