100120330200 has 192 divisors, whose sum is σ = 338922950400. Its totient is φ = 24247641600.

The previous prime is 100120330187. The next prime is 100120330207. The reversal of 100120330200 is 2033021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120330207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7206861 + ... + 7220739.

It is an arithmetic number, because the mean of its divisors is an integer number (1765223700).

Almost surely, 2^100120330200 is an apocalyptic number.

100120330200 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 100120330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169461475200).

100120330200 is an abundant number, since it is smaller than the sum of its proper divisors (238802620200).

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

100120330200 is a wasteful number, since it uses less digits than its factorization.

100120330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15002 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100120330200 its reverse (2033021001), we get a palindrome (102153351201).

The spelling of 100120330200 in words is "one hundred billion, one hundred twenty million, three hundred thirty thousand, two hundred".