102215289800 has 324 divisors, whose sum is σ = 270227596905. Its totient is φ = 35939704320.

The previous prime is 102215289779. The next prime is 102215289857. The reversal of 102215289800 is 8982512201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 611177284 + 101604112516 = 24722^2 + 318754^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226070.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2174793377 + ... + 2174793423.

Almost surely, 2^102215289800 is an apocalyptic number.

102215289800 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 102215289800

102215289800 is an abundant number, since it is smaller than the sum of its proper divisors (168012307105).

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

102215289800 is a wasteful number, since it uses less digits than its factorization.

102215289800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 102215289800 in words is "one hundred two billion, two hundred fifteen million, two hundred eighty-nine thousand, eight hundred".