220102855200 has 810 divisors, whose sum is σ = 855965150271. Its totient is φ = 55031685120.

The previous prime is 220102855171. The next prime is 220102855213. The reversal of 220102855200 is 2558201022.

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.

220102855200 is a `hidden beast` number, since 2 + 2 + 0 + 102 + 8 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 68629328784 + 151473526416 = 261972^2 + 389196^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331740.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 134 ways as a sum of consecutive naturals, for example, 2269101552 + ... + 2269101648.

Almost surely, 2^220102855200 is an apocalyptic number.

220102855200 is a gapful number since it is divisible by the number (20) 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 220102855200

220102855200 is an abundant number, since it is smaller than the sum of its proper divisors (635862295071).

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

220102855200 is an equidigital number, since it uses as much as digits as its factorization.

220102855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Multiplying 220102855200 by its product of nonzero digits (3200), we get a square (704329136640000 = 26539200²).

The spelling of 220102855200 in words is "two hundred twenty billion, one hundred two million, eight hundred fifty-five thousand, two hundred".