10142400666521 has 16 divisors (see below), whose sum is σ = 11029780043280. Its totient is φ = 9287353313280.

The previous prime is 10142400666439. The next prime is 10142400666527. The reversal of 10142400666521 is 12566600424101.

It is a happy number.

10142400666521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1858480554121 + 8283920112400 = 1363261^2 + 2878180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142400666521 - 2³⁴ = 10125220797337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142400666527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13252565 + ... + 13996973.

It is an arithmetic number, because the mean of its divisors is an integer number (689361252705).

Almost surely, 2^{10142400666521} is an apocalyptic number.

It is an amenable number.

10142400666521 is a deficient number, since it is larger than the sum of its proper divisors (887379376759).

10142400666521 is a wasteful number, since it uses less digits than its factorization.

10142400666521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766124.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 10142400666521 in words is "ten trillion, one hundred forty-two billion, four hundred million, six hundred sixty-six thousand, five hundred twenty-one".