100021000200 has 192 divisors, whose sum is σ = 338492977920. Its totient is φ = 24230304000.

The previous prime is 100021000193. The next prime is 100021000223. The reversal of 100021000200 is 2000120001.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10997655 + ... + 11006745.

It is an arithmetic number, because the mean of its divisors is an integer number (1762984260).

Almost surely, 2^100021000200 is an apocalyptic number.

100021000200 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 100021000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169246488960).

100021000200 is an abundant number, since it is smaller than the sum of its proper divisors (238471977720).

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

100021000200 is a wasteful number, since it uses less digits than its factorization.

100021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10779 counting only the distinct ones).

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

Adding to 100021000200 its reverse (2000120001), we get a palindrome (102021120201).

It can be divided in two parts, 10002 and 1000200, that multiplied together give a square (10004000400 = 100020²).

The spelling of 100021000200 in words is "one hundred billion, twenty-one million, two hundred", and thus it is an aban number.