42102141215857 has 2 divisors, whose sum is σ = 42102141215858. Its totient is φ = 42102141215856.

The previous prime is 42102141215851. The next prime is 42102141215861. The reversal of 42102141215857 is 75851214120124.

42102141215857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41976935639521 + 125205576336 = 6478961^2 + 353844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42102141215857 is a prime.

It is not a weakly prime, because it can be changed into another prime (42102141215851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21051070607928 + 21051070607929.

It is an arithmetic number, because the mean of its divisors is an integer number (21051070607929).

Almost surely, 2^{42102141215857} is an apocalyptic number.

It is an amenable number.

42102141215857 is a deficient number, since it is larger than the sum of its proper divisors (1).

42102141215857 is an equidigital number, since it uses as much as digits as its factorization.

42102141215857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 42102141215857 in words is "forty-two trillion, one hundred two billion, one hundred forty-one million, two hundred fifteen thousand, eight hundred fifty-seven".