100222102202200 has 192 divisors, whose sum is σ = 269180797799520. Its totient is φ = 34297021440000.

The previous prime is 100222102202153. The next prime is 100222102202203. The reversal of 100222102202200 is 2202201222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222102202203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370162074 + ... + 370432726.

Almost surely, 2^{100222102202200} is an apocalyptic number.

100222102202200 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 100222102202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134590398899760).

100222102202200 is an abundant number, since it is smaller than the sum of its proper divisors (168958695597320).

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

100222102202200 is a wasteful number, since it uses less digits than its factorization.

100222102202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280598 (or 280589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100222102202200 its reverse (2202201222001), we get a palindrome (102424303424201).

The spelling of 100222102202200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, two hundred two thousand, two hundred".