100203033313200 has 480 divisors, whose sum is σ = 335986166937600. Its totient is φ = 25494090997760.

The previous prime is 100203033313189. The next prime is 100203033313211. The reversal of 100203033313200 is 2313330302001.

100203033313200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100203033313189) and next prime (100203033313211).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5646186727 + ... + 5646204473.

It is an arithmetic number, because the mean of its divisors is an integer number (699971181120).

Almost surely, 2^{100203033313200} is an apocalyptic number.

100203033313200 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 100203033313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167993083468800).

100203033313200 is an abundant number, since it is smaller than the sum of its proper divisors (235783133624400).

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

100203033313200 is a wasteful number, since it uses less digits than its factorization.

100203033313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19709 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100203033313200 its reverse (2313330302001), we get a palindrome (102516363615201).

The spelling of 100203033313200 in words is "one hundred trillion, two hundred three billion, thirty-three million, three hundred thirteen thousand, two hundred".