220102321312800 has 252 divisors, whose sum is σ = 805618654469370. Its totient is φ = 58693952194560.

The previous prime is 220102321312793. The next prime is 220102321312859. The reversal of 220102321312800 is 8213123201022.

220102321312800 is a `hidden beast` number, since 2 + 20 + 1 + 0 + 2 + 321 + 312 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 152920627067664 + 67181694245136 = 12366108^2 + 8196444^2 .

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 41 ways as a sum of consecutive naturals, for example, 188119065 + ... + 189285464.

Almost surely, 2^{220102321312800} is an apocalyptic number.

220102321312800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102321312800 is an abundant number, since it is smaller than the sum of its proper divisors (585516333156570).

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

220102321312800 is an equidigital number, since it uses as much as digits as its factorization.

220102321312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377404567 (or 377404539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 220102321312800 its reverse (8213123201022), we get a palindrome (228315444513822).

The spelling of 220102321312800 in words is "two hundred twenty trillion, one hundred two billion, three hundred twenty-one million, three hundred twelve thousand, eight hundred".