10202421224224 has 96 divisors (see below), whose sum is σ = 21129272889984. Its totient is φ = 4839984230400.

The previous prime is 10202421224197. The next prime is 10202421224249. The reversal of 10202421224224 is 42242212420201.

It is a junction number, because it is equal to n+sod(n) for n = 10202421224192 and 10202421224201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55040499 + ... + 55225549.

It is an arithmetic number, because the mean of its divisors is an integer number (220096592604).

Almost surely, 2^{10202421224224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202421224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564636444992).

10202421224224 is an abundant number, since it is smaller than the sum of its proper divisors (10926851665760).

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

10202421224224 is a wasteful number, since it uses less digits than its factorization.

10202421224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185690 (or 185682 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10202421224224 its reverse (42242212420201), we get a palindrome (52444633644425).

The spelling of 10202421224224 in words is "ten trillion, two hundred two billion, four hundred twenty-one million, two hundred twenty-four thousand, two hundred twenty-four".