78125000101 has 2 divisors, whose sum is σ = 78125000102. Its totient is φ = 78125000100.

The previous prime is 78125000099. The next prime is 78125000117. The reversal of 78125000101 is 10100052187.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75419439876 + 2705560225 = 274626^2 + 52015^2 .

It is a cyclic number.

It is not a de Polignac number, because 78125000101 - 2¹ = 78125000099 is a prime.

It is a super-2 number, since 2×78125000101² (a number of 23 digits) contains 22 as substring.

Together with 78125000099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78125000201) 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, 39062500050 + 39062500051.

It is an arithmetic number, because the mean of its divisors is an integer number (39062500051).

Almost surely, 2^78125000101 is an apocalyptic number.

It is an amenable number.

78125000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

78125000101 is an equidigital number, since it uses as much as digits as its factorization.

78125000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 78125000101 its reverse (10100052187), we get a palindrome (88225052288).

The spelling of 78125000101 in words is "seventy-eight billion, one hundred twenty-five million, one hundred one", and thus it is an aban number.