2102003433200 has 180 divisors, whose sum is σ = 5700925039320. Its totient is φ = 743705740800.

The previous prime is 2102003433139. The next prime is 2102003433247. The reversal of 2102003433200 is 23343002012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1203911 + ... + 2377689.

It is an arithmetic number, because the mean of its divisors is an integer number (31671805774).

Almost surely, 2^{2102003433200} is an apocalyptic number.

2102003433200 is a gapful number since it is divisible by the number (20) 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 2102003433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850462519660).

2102003433200 is an abundant number, since it is smaller than the sum of its proper divisors (3598921606120).

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

2102003433200 is a wasteful number, since it uses less digits than its factorization.

2102003433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173856 (or 1173834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2102003433200 its reverse (23343002012), we get a palindrome (2125346435212).

The spelling of 2102003433200 in words is "two trillion, one hundred two billion, three million, four hundred thirty-three thousand, two hundred".