100120000200 has 192 divisors, whose sum is σ = 350263742400. Its totient is φ = 23434521600.

The previous prime is 100120000193. The next prime is 100120000223. The reversal of 100120000200 is 2000021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70147 + ... + 452946.

It is an arithmetic number, because the mean of its divisors is an integer number (1824290325).

Almost surely, 2^100120000200 is an apocalyptic number.

100120000200 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 100120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175131871200).

100120000200 is an abundant number, since it is smaller than the sum of its proper divisors (250143742200).

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

100120000200 is a wasteful number, since it uses less digits than its factorization.

100120000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523152 (or 523143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100120000200 its reverse (2000021001), we get a palindrome (102120021201).

The spelling of 100120000200 in words is "one hundred billion, one hundred twenty million, two hundred", and thus it is an aban number.