10203012124400 has 120 divisors (see below), whose sum is σ = 25582313877120. Its totient is φ = 3903180286720.

The previous prime is 10203012124399. The next prime is 10203012124421. The reversal of 10203012124400 is 442121030201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 64495799 + ... + 64653801.

It is an arithmetic number, because the mean of its divisors is an integer number (213185948976).

Almost surely, 2^{10203012124400} is an apocalyptic number.

10203012124400 is a gapful number since it is divisible by the number (10) 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 10203012124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791156938560).

10203012124400 is an abundant number, since it is smaller than the sum of its proper divisors (15379301752720).

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

10203012124400 is a wasteful number, since it uses less digits than its factorization.

10203012124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165063 (or 165052 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10203012124400 its reverse (442121030201), we get a palindrome (10645133154601).

The spelling of 10203012124400 in words is "ten trillion, two hundred three billion, twelve million, one hundred twenty-four thousand, four hundred".