100003212000 has 288 divisors, whose sum is σ = 355492597824. Its totient is φ = 26623872000.

The previous prime is 100003211989. The next prime is 100003212007. The reversal of 100003212000 is 212300001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26170090 + ... + 26173910.

It is an arithmetic number, because the mean of its divisors is an integer number (1234349298).

Almost surely, 2^100003212000 is an apocalyptic number.

100003212000 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 100003212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177746298912).

100003212000 is an abundant number, since it is smaller than the sum of its proper divisors (255489385824).

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

100003212000 is a wasteful number, since it uses less digits than its factorization.

100003212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100003212000 its reverse (212300001), we get a palindrome (100215512001).

The spelling of 100003212000 in words is "one hundred billion, three million, two hundred twelve thousand".