1008381567101 has 2 divisors, whose sum is σ = 1008381567102. Its totient is φ = 1008381567100.

The previous prime is 1008381567071. The next prime is 1008381567131. The reversal of 1008381567101 is 1017651838001.

1008381567101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1008381567071) and next prime (1008381567131).

It can be written as a sum of positive squares in only one way, i.e., 701027751076 + 307353816025 = 837274^2 + 554395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1008381567101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008381567131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504190783550 + 504190783551.

It is an arithmetic number, because the mean of its divisors is an integer number (504190783551).

Almost surely, 2^{1008381567101} is an apocalyptic number.

It is an amenable number.

1008381567101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008381567101 is an equidigital number, since it uses as much as digits as its factorization.

1008381567101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 1008381567101 in words is "one trillion, eight billion, three hundred eighty-one million, five hundred sixty-seven thousand, one hundred one".