10721217024 has 200 divisors, whose sum is σ = 36572430048. Its totient is φ = 3063121920.

The previous prime is 10721217011. The next prime is 10721217043. The reversal of 10721217024 is 42071212701.

It is a happy number.

It is a super-2 number, since 2×10721217024² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271839 + ... + 308769.

Almost surely, 2^10721217024 is an apocalyptic number.

10721217024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10721217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286215024).

10721217024 is an abundant number, since it is smaller than the sum of its proper divisors (25851213024).

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

10721217024 is an frugal number, since it uses more digits than its factorization.

10721217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36968 (or 36943 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 10721217024 its reverse (42071212701), we get a palindrome (52792429725).

The spelling of 10721217024 in words is "ten billion, seven hundred twenty-one million, two hundred seventeen thousand, twenty-four".