203200101420 has 192 divisors, whose sum is σ = 602637235200. Its totient is φ = 51016089600.

The previous prime is 203200101413. The next prime is 203200101443. The reversal of 203200101420 is 24101002302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203200101420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154055521 + ... + 154056839.

It is an arithmetic number, because the mean of its divisors is an integer number (3138735600).

Almost surely, 2^203200101420 is an apocalyptic number.

203200101420 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 203200101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301318617600).

203200101420 is an abundant number, since it is smaller than the sum of its proper divisors (399437133780).

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

203200101420 is a wasteful number, since it uses less digits than its factorization.

203200101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 203200101420 its reverse (24101002302), we get a palindrome (227301103722).

The spelling of 203200101420 in words is "two hundred three billion, two hundred million, one hundred one thousand, four hundred twenty".