10203312122300 has 144 divisors (see below), whose sum is σ = 24529493761920. Its totient is φ = 3653029920000.

The previous prime is 10203312122279. The next prime is 10203312122303. The reversal of 10203312122300 is 322121330201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203312122303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19630367 + ... + 20143433.

It is an arithmetic number, because the mean of its divisors is an integer number (170343706680).

Almost surely, 2^{10203312122300} is an apocalyptic number.

10203312122300 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 10203312122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264746880960).

10203312122300 is an abundant number, since it is smaller than the sum of its proper divisors (14326181639620).

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

10203312122300 is a wasteful number, since it uses less digits than its factorization.

10203312122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513372 (or 513365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10203312122300 its reverse (322121330201), we get a palindrome (10525433452501).

The spelling of 10203312122300 in words is "ten trillion, two hundred three billion, three hundred twelve million, one hundred twenty-two thousand, three hundred".