101078757601 has 2 divisors, whose sum is σ = 101078757602. Its totient is φ = 101078757600.

The previous prime is 101078757599. The next prime is 101078757613. The reversal of 101078757601 is 106757870101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65884622400 + 35194135201 = 256680^2 + 187601^2 .

It is an emirp because it is prime and its reverse (106757870101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101078757601 - 2¹ = 101078757599 is a prime.

It is a super-3 number, since 3×101078757601³ (a number of 34 digits) contains 333 as substring.

Together with 101078757599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101078757671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50539378800 + 50539378801.

It is an arithmetic number, because the mean of its divisors is an integer number (50539378801).

Almost surely, 2^101078757601 is an apocalyptic number.

It is an amenable number.

101078757601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101078757601 is an equidigital number, since it uses as much as digits as its factorization.

101078757601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 43.

The spelling of 101078757601 in words is "one hundred one billion, seventy-eight million, seven hundred fifty-seven thousand, six hundred one".