1016127837601 has 2 divisors, whose sum is σ = 1016127837602. Its totient is φ = 1016127837600.

The previous prime is 1016127837547. The next prime is 1016127837679. The reversal of 1016127837601 is 1067387216101.

1016127837601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 834482250000 + 181645587601 = 913500^2 + 426199^2 .

It is an emirp because it is prime and its reverse (1067387216101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1016127837601 - 2³⁹ = 466372023713 is a prime.

It is not a weakly prime, because it can be changed into another prime (1016127837001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508063918800 + 508063918801.

It is an arithmetic number, because the mean of its divisors is an integer number (508063918801).

Almost surely, 2^{1016127837601} is an apocalyptic number.

It is an amenable number.

1016127837601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016127837601 is an equidigital number, since it uses as much as digits as its factorization.

1016127837601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 1016127837601 in words is "one trillion, sixteen billion, one hundred twenty-seven million, eight hundred thirty-seven thousand, six hundred one".