10200103030000 has 200 divisors, whose sum is σ = 26605923066800. Its totient is φ = 3764662272000.

The previous prime is 10200103029997. The next prime is 10200103030001. The reversal of 10200103030000 is 3030100201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200103030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349555411 + ... + 349584589.

It is an arithmetic number, because the mean of its divisors is an integer number (133029615334).

Almost surely, 2^{10200103030000} is an apocalyptic number.

10200103030000 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 10200103030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302961533400).

10200103030000 is an abundant number, since it is smaller than the sum of its proper divisors (16405820036800).

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

10200103030000 is a wasteful number, since it uses less digits than its factorization.

10200103030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31909 (or 31888 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10200103030000 its reverse (3030100201), we get a palindrome (10203133130201).

The spelling of 10200103030000 in words is "ten trillion, two hundred billion, one hundred three million, thirty thousand".