77111120117 has 2 divisors, whose sum is σ = 77111120118. Its totient is φ = 77111120116.

The previous prime is 77111120113. The next prime is 77111120129. The reversal of 77111120117 is 71102111177.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74032423921 + 3078696196 = 272089^2 + 55486^2 .

It is a cyclic number.

It is not a de Polignac number, because 77111120117 - 2² = 77111120113 is a prime.

It is a super-2 number, since 2×77111120117² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77111120117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77111120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38555560058 + 38555560059.

It is an arithmetic number, because the mean of its divisors is an integer number (38555560059).

Almost surely, 2^77111120117 is an apocalyptic number.

It is an amenable number.

77111120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

77111120117 is an equidigital number, since it uses as much as digits as its factorization.

77111120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 29.

The spelling of 77111120117 in words is "seventy-seven billion, one hundred eleven million, one hundred twenty thousand, one hundred seventeen".