100221110221188 has 192 divisors, whose sum is σ = 272453351030784. Its totient is φ = 28394201472000.

The previous prime is 100221110221187. The next prime is 100221110221189. The reversal of 100221110221188 is 881122011122001.

It is an interprime number because it is at equal distance from previous prime (100221110221187) and next prime (100221110221189).

It is not an unprimeable number, because it can be changed into a prime (100221110221187) 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 63 ways as a sum of consecutive naturals, for example, 8271133 + ... + 16396763.

It is an arithmetic number, because the mean of its divisors is an integer number (1419027869952).

Almost surely, 2^{100221110221188} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221110221188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136226675515392).

100221110221188 is an abundant number, since it is smaller than the sum of its proper divisors (172232240809596).

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

100221110221188 is a wasteful number, since it uses less digits than its factorization.

100221110221188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125786 (or 8125784 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

Adding to 100221110221188 its reverse (881122011122001), we get a palindrome (981343121343189).

The spelling of 100221110221188 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, one hundred eighty-eight".