103233201002200 has 192 divisors, whose sum is σ = 250757780832000. Its totient is φ = 39473865392640.

The previous prime is 103233201002161. The next prime is 103233201002227. The reversal of 103233201002200 is 2200102332301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3289866111 + ... + 3289897489.

It is an arithmetic number, because the mean of its divisors is an integer number (1306030108500).

Almost surely, 2^{103233201002200} is an apocalyptic number.

103233201002200 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 103233201002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125378890416000).

103233201002200 is an abundant number, since it is smaller than the sum of its proper divisors (147524579829800).

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

103233201002200 is a wasteful number, since it uses less digits than its factorization.

103233201002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37034 (or 37025 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103233201002200 its reverse (2200102332301), we get a palindrome (105433303334501).

The spelling of 103233201002200 in words is "one hundred three trillion, two hundred thirty-three billion, two hundred one million, two thousand, two hundred".