10103223132200 has 192 divisors, whose sum is σ = 25956150217920. Its totient is φ = 3626703360000.

The previous prime is 10103223132193. The next prime is 10103223132209. The reversal of 10103223132200 is 223132230101.

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

It is not an unprimeable number, because it can be changed into a prime (10103223132209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74813939 + ... + 74948861.

It is an arithmetic number, because the mean of its divisors is an integer number (135188282385).

Almost surely, 2^{10103223132200} is an apocalyptic number.

10103223132200 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 10103223132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978075108960).

10103223132200 is an abundant number, since it is smaller than the sum of its proper divisors (15852927085720).

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

10103223132200 is a wasteful number, since it uses less digits than its factorization.

10103223132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135388 (or 135379 counting only the distinct ones).

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

Adding to 10103223132200 its reverse (223132230101), we get a palindrome (10326355362301).

It can be divided in two parts, 101032 and 23132200, that added together give a palindrome (23233232).

The spelling of 10103223132200 in words is "ten trillion, one hundred three billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred".