100222001212200 has 192 divisors, whose sum is σ = 355315621440000. Its totient is φ = 22892183504640.

The previous prime is 100222001212199. The next prime is 100222001212213. The reversal of 100222001212200 is 2212100222001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100222001212200.

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, 2049850 + ... + 14305449.

It is an arithmetic number, because the mean of its divisors is an integer number (1850602195000).

Almost surely, 2^{100222001212200} is an apocalyptic number.

100222001212200 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 100222001212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177657810720000).

100222001212200 is an abundant number, since it is smaller than the sum of its proper divisors (255093620227800).

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

100222001212200 is a wasteful number, since it uses less digits than its factorization.

100222001212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356784 (or 16356775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100222001212200 its reverse (2212100222001), we get a palindrome (102434101434201).

The spelling of 100222001212200 in words is "one hundred trillion, two hundred twenty-two billion, one million, two hundred twelve thousand, two hundred".