100102221200100 has 288 divisors, whose sum is σ = 348478301516800. Its totient is φ = 21673015257600.

The previous prime is 100102221200077. The next prime is 100102221200147. The reversal of 100102221200100 is 1002122201001.

100102221200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270376911 + ... + 270746889.

Almost surely, 2^{100102221200100} is an apocalyptic number.

100102221200100 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 100102221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174239150758400).

100102221200100 is an abundant number, since it is smaller than the sum of its proper divisors (248376080316700).

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

100102221200100 is a wasteful number, since it uses less digits than its factorization.

100102221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376803 (or 376796 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102221200100 its reverse (1002122201001), we get a palindrome (101104343401101).

The spelling of 100102221200100 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand, one hundred".