10103101200 has 540 divisors, whose sum is σ = 37606128768. Its totient is φ = 2510054400.

The previous prime is 10103101189. The next prime is 10103101201. The reversal of 10103101200 is 210130101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10103101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 142297165 + ... + 142297235.

Almost surely, 2^10103101200 is an apocalyptic number.

10103101200 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 10103101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803064384).

10103101200 is an abundant number, since it is smaller than the sum of its proper divisors (27503027568).

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

10103101200 is a wasteful number, since it uses less digits than its factorization.

10103101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10103101200 its reverse (210130101), we get a palindrome (10313231301).

The spelling of 10103101200 in words is "ten billion, one hundred three million, one hundred one thousand, two hundred".