10142412255961 has 2 divisors, whose sum is σ = 10142412255962. Its totient is φ = 10142412255960.

The previous prime is 10142412255959. The next prime is 10142412255971. The reversal of 10142412255961 is 16955221424101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6410391015625 + 3732021240336 = 2531875^2 + 1931844^2 .

It is an emirp because it is prime and its reverse (16955221424101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10142412255961 - 2¹ = 10142412255959 is a prime.

Together with 10142412255959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10142412255971) 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, 5071206127980 + 5071206127981.

It is an arithmetic number, because the mean of its divisors is an integer number (5071206127981).

Almost surely, 2^{10142412255961} is an apocalyptic number.

It is an amenable number.

10142412255961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142412255961 is an equidigital number, since it uses as much as digits as its factorization.

10142412255961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 10142412255961 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-five thousand, nine hundred sixty-one".