101516387467993 has 2 divisors, whose sum is σ = 101516387467994. Its totient is φ = 101516387467992.

The previous prime is 101516387467933. The next prime is 101516387468107. The reversal of 101516387467993 is 399764783615101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84837878719504 + 16678508748489 = 9210748^2 + 4083933^2 .

It is a cyclic number.

It is not a de Polignac number, because 101516387467993 - 2¹³ = 101516387459801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101516387467933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50758193733996 + 50758193733997.

It is an arithmetic number, because the mean of its divisors is an integer number (50758193733997).

Almost surely, 2^{101516387467993} is an apocalyptic number.

It is an amenable number.

101516387467993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101516387467993 is an equidigital number, since it uses as much as digits as its factorization.

101516387467993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 205752960, while the sum is 70.

The spelling of 101516387467993 in words is "one hundred one trillion, five hundred sixteen billion, three hundred eighty-seven million, four hundred sixty-seven thousand, nine hundred ninety-three".