10224100035200 has 48 divisors (see below), whose sum is σ = 25256722126110. Its totient is φ = 4089640012800.

The previous prime is 10224100035179. The next prime is 10224100035257. The reversal of 10224100035200 is 253000142201.

It can be written as a sum of positive squares in 3 ways, for example, as 9821504709184 + 402595326016 = 3133928^2 + 634504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597512431 + ... + 1597518830.

Almost surely, 2^{10224100035200} is an apocalyptic number.

10224100035200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224100035200 is an abundant number, since it is smaller than the sum of its proper divisors (15032622090910).

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

10224100035200 is an equidigital number, since it uses as much as digits as its factorization.

10224100035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195031285 (or 3195031268 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10224100035200 its reverse (253000142201), we get a palindrome (10477100177401).

The spelling of 10224100035200 in words is "ten trillion, two hundred twenty-four billion, one hundred million, thirty-five thousand, two hundred".