10145401142257 has 2 divisors, whose sum is σ = 10145401142258. Its totient is φ = 10145401142256.

The previous prime is 10145401142141. The next prime is 10145401142267. The reversal of 10145401142257 is 75224110454101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8290259076961 + 1855142065296 = 2879281^2 + 1362036^2 .

It is a cyclic number.

It is not a de Polignac number, because 10145401142257 - 2¹¹ = 10145401140209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10145401142267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072700571128 + 5072700571129.

It is an arithmetic number, because the mean of its divisors is an integer number (5072700571129).

Almost surely, 2^{10145401142257} is an apocalyptic number.

It is an amenable number.

10145401142257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10145401142257 is an equidigital number, since it uses as much as digits as its factorization.

10145401142257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44800, while the sum is 37.

Adding to 10145401142257 its reverse (75224110454101), we get a palindrome (85369511596358).

The spelling of 10145401142257 in words is "ten trillion, one hundred forty-five billion, four hundred one million, one hundred forty-two thousand, two hundred fifty-seven".