101863761047729 has 2 divisors, whose sum is σ = 101863761047730. Its totient is φ = 101863761047728.

The previous prime is 101863761047689. The next prime is 101863761047743. The reversal of 101863761047729 is 927740167368101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100182983631025 + 1680777416704 = 10009145^2 + 1296448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101863761047729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101863761047029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50931880523864 + 50931880523865.

It is an arithmetic number, because the mean of its divisors is an integer number (50931880523865).

Almost surely, 2^{101863761047729} is an apocalyptic number.

It is an amenable number.

101863761047729 is a deficient number, since it is larger than the sum of its proper divisors (1).

101863761047729 is an equidigital number, since it uses as much as digits as its factorization.

101863761047729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21337344, while the sum is 62.

The spelling of 101863761047729 in words is "one hundred one trillion, eight hundred sixty-three billion, seven hundred sixty-one million, forty-seven thousand, seven hundred twenty-nine".