78110000100001 has 2 divisors, whose sum is σ = 78110000100002. Its totient is φ = 78110000100000.

The previous prime is 78110000099981. The next prime is 78110000100007. The reversal of 78110000100001 is 10000100001187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53942796619776 + 24167203480225 = 7344576^2 + 4916015^2 .

It is an emirp because it is prime and its reverse (10000100001187) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 78110000100001 - 2⁵ = 78110000099969 is a prime.

It is a super-2 number, since 2×78110000100001² (a number of 29 digits) contains 22 as substring.

78110000100001 is a modest number, since divided by 100001 gives 7811 as remainder.

It is not a weakly prime, because it can be changed into another prime (78110000100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39055000050000 + 39055000050001.

It is an arithmetic number, because the mean of its divisors is an integer number (39055000050001).

Almost surely, 2^{78110000100001} is an apocalyptic number.

It is an amenable number.

78110000100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

78110000100001 is an equidigital number, since it uses as much as digits as its factorization.

78110000100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 78110000100001 its reverse (10000100001187), we get a palindrome (88110100101188).

The spelling of 78110000100001 in words is "seventy-eight trillion, one hundred ten billion, one hundred thousand, one".