10211304224 has 96 divisors (see below), whose sum is σ = 22587247872. Its totient is φ = 4541856000.

The previous prime is 10211304223. The next prime is 10211304263. The reversal of 10211304224 is 42240311201.

It is a junction number, because it is equal to n+sod(n) for n = 10211304196 and 10211304205.

It is not an unprimeable number, because it can be changed into a prime (10211304221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999274 + ... + 2004374.

It is an arithmetic number, because the mean of its divisors is an integer number (235283832).

Almost surely, 2^10211304224 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 10211304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293623936).

10211304224 is an abundant number, since it is smaller than the sum of its proper divisors (12375943648).

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

10211304224 is an equidigital number, since it uses as much as digits as its factorization.

10211304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10211304224 its reverse (42240311201), we get a palindrome (52451615425).

The spelling of 10211304224 in words is "ten billion, two hundred eleven million, three hundred four thousand, two hundred twenty-four".