100220222222112 has 192 divisors, whose sum is σ = 283573628352000. Its totient is φ = 30879708119040.

The previous prime is 100220222222111. The next prime is 100220222222167. The reversal of 100220222222112 is 211222222022001.

It is not an unprimeable number, because it can be changed into a prime (100220222222111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19326537 + ... + 23957367.

It is an arithmetic number, because the mean of its divisors is an integer number (1476945981000).

Almost surely, 2^{100220222222112} is an apocalyptic number.

100220222222112 is a gapful number since it is divisible by the number (12) 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 100220222222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141786814176000).

100220222222112 is an abundant number, since it is smaller than the sum of its proper divisors (183353406129888).

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

100220222222112 is a wasteful number, since it uses less digits than its factorization.

100220222222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631099 (or 4631091 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100220222222112 its reverse (211222222022001), we get a palindrome (311442444244113).

The spelling of 100220222222112 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".