101076641246849 has 2 divisors, whose sum is σ = 101076641246850. Its totient is φ = 101076641246848.

The previous prime is 101076641246767. The next prime is 101076641246851. The reversal of 101076641246849 is 948642146670101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75026519386225 + 26050121860624 = 8661785^2 + 5103932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101076641246849 is a prime.

Together with 101076641246851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101076641246249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50538320623424 + 50538320623425.

It is an arithmetic number, because the mean of its divisors is an integer number (50538320623425).

Almost surely, 2^{101076641246849} is an apocalyptic number.

It is an amenable number.

101076641246849 is a deficient number, since it is larger than the sum of its proper divisors (1).

101076641246849 is an equidigital number, since it uses as much as digits as its factorization.

101076641246849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 59.

The spelling of 101076641246849 in words is "one hundred one trillion, seventy-six billion, six hundred forty-one million, two hundred forty-six thousand, eight hundred forty-nine".