202103000400 has 240 divisors, whose sum is σ = 740191783424. Its totient is φ = 46176099840.

The previous prime is 202103000389. The next prime is 202103000419. The reversal of 202103000400 is 4000301202.

202103000400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 38662587 + ... + 38667813.

Almost surely, 2^202103000400 is an apocalyptic number.

202103000400 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 202103000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370095891712).

202103000400 is an abundant number, since it is smaller than the sum of its proper divisors (538088783024).

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

202103000400 is a wasteful number, since it uses less digits than its factorization.

202103000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202103000400 its reverse (4000301202), we get a palindrome (206103301602).

The spelling of 202103000400 in words is "two hundred two billion, one hundred three million, four hundred", and thus it is an aban number.