10820510921 has 16 divisors (see below), whose sum is σ = 12144550848. Its totient is φ = 9557222400.

The previous prime is 10820510903. The next prime is 10820510929. The reversal of 10820510921 is 12901502801.

10820510921 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 10820510921 - 2¹⁴ = 10820494537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10820510929) 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 15 ways as a sum of consecutive naturals, for example, 46760 + ... + 154361.

It is an arithmetic number, because the mean of its divisors is an integer number (759034428).

Almost surely, 2^10820510921 is an apocalyptic number.

10820510921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10820510921 is a deficient number, since it is larger than the sum of its proper divisors (1324039927).

10820510921 is a wasteful number, since it uses less digits than its factorization.

10820510921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201272.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 10820510921 in words is "ten billion, eight hundred twenty million, five hundred ten thousand, nine hundred twenty-one".