102003321011200 has 792 divisors, whose sum is σ = 313420883962608. Its totient is φ = 32704631930880.

The previous prime is 102003321011113. The next prime is 102003321011261. The reversal of 102003321011200 is 2110123300201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3347978367 + ... + 3348008833.

Almost surely, 2^{102003321011200} is an apocalyptic number.

102003321011200 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 102003321011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156710441981304).

102003321011200 is an abundant number, since it is smaller than the sum of its proper divisors (211417562951408).

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

102003321011200 is a wasteful number, since it uses less digits than its factorization.

102003321011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30685 (or 30655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102003321011200 its reverse (2110123300201), we get a palindrome (104113444311401).

The spelling of 102003321011200 in words is "one hundred two trillion, three billion, three hundred twenty-one million, eleven thousand, two hundred".