10500456021 has 32 divisors (see below), whose sum is σ = 15435422208. Its totient is φ = 6296552640.

The previous prime is 10500456019. The next prime is 10500456061. The reversal of 10500456021 is 12065400501.

10500456021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10500456021 - 2¹ = 10500456019 is a prime.

It is a super-2 number, since 2×10500456021² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10500455982 and 10500456000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500456061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4105275 + ... + 4107831.

It is an arithmetic number, because the mean of its divisors is an integer number (482356944).

Almost surely, 2^10500456021 is an apocalyptic number.

10500456021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10500456021 is a deficient number, since it is larger than the sum of its proper divisors (4934966187).

10500456021 is a wasteful number, since it uses less digits than its factorization.

10500456021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10500456021 its reverse (12065400501), we get a palindrome (22565856522).

The spelling of 10500456021 in words is "ten billion, five hundred million, four hundred fifty-six thousand, twenty-one".