101078006641 has 2 divisors, whose sum is σ = 101078006642. Its totient is φ = 101078006640.

The previous prime is 101078006639. The next prime is 101078006657. The reversal of 101078006641 is 146600870101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100930748416 + 147258225 = 317696^2 + 12135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101078006641 - 2¹ = 101078006639 is a prime.

Together with 101078006639, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101078006597 and 101078006606.

It is not a weakly prime, because it can be changed into another prime (101078006621) 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, 50539003320 + 50539003321.

It is an arithmetic number, because the mean of its divisors is an integer number (50539003321).

Almost surely, 2^101078006641 is an apocalyptic number.

It is an amenable number.

101078006641 is a deficient number, since it is larger than the sum of its proper divisors (1).

101078006641 is an equidigital number, since it uses as much as digits as its factorization.

101078006641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 101078006641 its reverse (146600870101), we get a palindrome (247678876742).

The spelling of 101078006641 in words is "one hundred one billion, seventy-eight million, six thousand, six hundred forty-one".