10144167721 has 8 divisors (see below), whose sum is σ = 10183779144. Its totient is φ = 10104581760.

The previous prime is 10144167713. The next prime is 10144167751. The reversal of 10144167721 is 12776144101.

10144167721 is digitally balanced in base 3, 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 4 ways, for example, as 91298025 + 10052869696 = 9555^2 + 100264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10144167721 - 2³ = 10144167713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144167701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1287831 + ... + 1295683.

It is an arithmetic number, because the mean of its divisors is an integer number (1272972393).

Almost surely, 2^10144167721 is an apocalyptic number.

It is an amenable number.

10144167721 is a deficient number, since it is larger than the sum of its proper divisors (39611423).

10144167721 is an equidigital number, since it uses as much as digits as its factorization.

10144167721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12731.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 10144167721 in words is "ten billion, one hundred forty-four million, one hundred sixty-seven thousand, seven hundred twenty-one".