10350824121 has 27 divisors (see below), whose sum is σ = 16439285317. Its totient is φ = 6271191960.

The previous prime is 10350824063. The next prime is 10350824131. The reversal of 10350824121 is 12142805301.

The square root of 10350824121 is 101739.

It is a perfect power (a square), and thus also a powerful number.

10350824121 is a `hidden beast` number, since 10 + 3 + 508 + 24 + 121 = 666.

10350824121 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 10350824121 - 2¹¹ = 10350822073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10350824131) 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 26 ways as a sum of consecutive naturals, for example, 3355846 + ... + 3358928.

Almost surely, 2^10350824121 is an apocalyptic number.

10350824121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10350824121 is the 101739-th square number.

10350824121 is the 50870-th centered octagonal number.

It is an amenable number.

10350824121 is a deficient number, since it is larger than the sum of its proper divisors (6088461196).

10350824121 is an frugal number, since it uses more digits than its factorization.

10350824121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10350824121 in words is "ten billion, three hundred fifty million, eight hundred twenty-four thousand, one hundred twenty-one".