10211102304 has 192 divisors, whose sum is σ = 30314269440. Its totient is φ = 2987550720.

The previous prime is 10211102273. The next prime is 10211102327. The reversal of 10211102304 is 40320111201.

It is a super-2 number, since 2×10211102304² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422759 + ... + 2426969.

It is an arithmetic number, because the mean of its divisors is an integer number (157886820).

Almost surely, 2^10211102304 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 10211102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157134720).

10211102304 is an abundant number, since it is smaller than the sum of its proper divisors (20103167136).

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

10211102304 is a wasteful number, since it uses less digits than its factorization.

10211102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10211102304 its reverse (40320111201), we get a palindrome (50531213505).

The spelling of 10211102304 in words is "ten billion, two hundred eleven million, one hundred two thousand, three hundred four".