101516058783257 has 2 divisors, whose sum is σ = 101516058783258. Its totient is φ = 101516058783256.

The previous prime is 101516058783137. The next prime is 101516058783317. The reversal of 101516058783257 is 752387850615101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79978393708096 + 21537665075161 = 8943064^2 + 4640869^2 .

It is a cyclic number.

It is not a de Polignac number, because 101516058783257 - 2²⁸ = 101515790347801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101516058783196 and 101516058783205.

It is not a weakly prime, because it can be changed into another prime (101516058783457) 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, 50758029391628 + 50758029391629.

It is an arithmetic number, because the mean of its divisors is an integer number (50758029391629).

Almost surely, 2^{101516058783257} is an apocalyptic number.

It is an amenable number.

101516058783257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101516058783257 is an equidigital number, since it uses as much as digits as its factorization.

101516058783257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112000, while the sum is 59.

The spelling of 101516058783257 in words is "one hundred one trillion, five hundred sixteen billion, fifty-eight million, seven hundred eighty-three thousand, two hundred fifty-seven".