102003101200 has 240 divisors, whose sum is σ = 329036190336. Its totient is φ = 29347430400.

The previous prime is 102003101183. The next prime is 102003101243. The reversal of 102003101200 is 2101300201.

102003101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 273024 + ... + 527776.

Almost surely, 2^102003101200 is an apocalyptic number.

102003101200 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 102003101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164518095168).

102003101200 is an abundant number, since it is smaller than the sum of its proper divisors (227033089136).

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

102003101200 is a wasteful number, since it uses less digits than its factorization.

102003101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254802 (or 254791 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102003101200 its reverse (2101300201), we get a palindrome (104104401401).

It can be divided in two parts, 102003 and 101200, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 102003101200 in words is "one hundred two billion, three million, one hundred one thousand, two hundred".