100288100220 has 192 divisors, whose sum is σ = 350310998016. Its totient is φ = 20826328320.

The previous prime is 100288100203. The next prime is 100288100293. The reversal of 100288100220 is 22001882001.

It is a congruent number.

It is an unprimeable number.

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, 8804649 + ... + 8816031.

It is an arithmetic number, because the mean of its divisors is an integer number (1824536448).

Almost surely, 2^100288100220 is an apocalyptic number.

100288100220 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 100288100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175155499008).

100288100220 is an abundant number, since it is smaller than the sum of its proper divisors (250022897796).

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

100288100220 is a wasteful number, since it uses less digits than its factorization.

100288100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 100288100220 its reverse (22001882001), we get a palindrome (122289982221).

The spelling of 100288100220 in words is "one hundred billion, two hundred eighty-eight million, one hundred thousand, two hundred twenty".