203102000020 has 192 divisors, whose sum is σ = 470385377280. Its totient is φ = 73424102400.

The previous prime is 203102000011. The next prime is 203102000021. The reversal of 203102000020 is 20000201302.

203102000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203101999970 and 203102000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203102000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137137680 + ... + 137139160.

It is an arithmetic number, because the mean of its divisors is an integer number (2449923840).

Almost surely, 2^203102000020 is an apocalyptic number.

203102000020 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 203102000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235192688640).

203102000020 is an abundant number, since it is smaller than the sum of its proper divisors (267283377260).

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

203102000020 is a wasteful number, since it uses less digits than its factorization.

203102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 203102000020 its reverse (20000201302), we get a palindrome (223102201322).

The spelling of 203102000020 in words is "two hundred three billion, one hundred two million, twenty", and thus it is an aban number.