10142312177 has 2 divisors, whose sum is σ = 10142312178. Its totient is φ = 10142312176.

The previous prime is 10142312153. The next prime is 10142312179. The reversal of 10142312177 is 77121324101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7918152256 + 2224159921 = 88984^2 + 47161^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142312177 - 2¹⁶ = 10142246641 is a prime.

It is a super-3 number, since 3×10142312177³ (a number of 31 digits) contains 333 as substring.

Together with 10142312179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10142312179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071156088 + 5071156089.

It is an arithmetic number, because the mean of its divisors is an integer number (5071156089).

Almost surely, 2^10142312177 is an apocalyptic number.

It is an amenable number.

10142312177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142312177 is an equidigital number, since it uses as much as digits as its factorization.

10142312177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 10142312177 its reverse (77121324101), we get a palindrome (87263636278).

The spelling of 10142312177 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, one hundred seventy-seven".