100222102102200 has 96 divisors (see below), whose sum is σ = 334587633198000. Its totient is φ = 24670055900160.

The previous prime is 100222102102169. The next prime is 100222102102201. The reversal of 100222102102200 is 2201201222001.

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 100222102102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222102102201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6424485925 + ... + 6424501524.

Almost surely, 2^{100222102102200} is an apocalyptic number.

100222102102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222102102200 is an abundant number, since it is smaller than the sum of its proper divisors (234365531095800).

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

100222102102200 is a wasteful number, since it uses less digits than its factorization.

100222102102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848987481 (or 12848987472 counting only the distinct ones).

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

Adding to 100222102102200 its reverse (2201201222001), we get a palindrome (102423303324201).

The spelling of 100222102102200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, one hundred two thousand, two hundred".