100121200200 has 432 divisors, whose sum is σ = 405632944080. Its totient is φ = 22884301440.

The previous prime is 100121200199. The next prime is 100121200219. The reversal of 100121200200 is 2002121001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2360379 + ... + 2402421.

Almost surely, 2^100121200200 is an apocalyptic number.

100121200200 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 100121200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202816472040).

100121200200 is an abundant number, since it is smaller than the sum of its proper divisors (305511743880).

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

100121200200 is a wasteful number, since it uses less digits than its factorization.

100121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42088 (or 42060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100121200200 its reverse (2002121001), we get a palindrome (102123321201).

The spelling of 100121200200 in words is "one hundred billion, one hundred twenty-one million, two hundred thousand, two hundred".