101647013775077 has 2 divisors, whose sum is σ = 101647013775078. Its totient is φ = 101647013775076.

The previous prime is 101647013775001. The next prime is 101647013775079. The reversal of 101647013775077 is 770577310746101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63644239774756 + 38002774000321 = 7977734^2 + 6164639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101647013775077 is a prime.

Together with 101647013775079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101647013775079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50823506887538 + 50823506887539.

It is an arithmetic number, because the mean of its divisors is an integer number (50823506887539).

Almost surely, 2^{101647013775077} is an apocalyptic number.

It is an amenable number.

101647013775077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101647013775077 is an equidigital number, since it uses as much as digits as its factorization.

101647013775077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6050520, while the sum is 56.

The spelling of 101647013775077 in words is "one hundred one trillion, six hundred forty-seven billion, thirteen million, seven hundred seventy-five thousand, seventy-seven".