4102116077 has 2 divisors, whose sum is σ = 4102116078. Its totient is φ = 4102116076.

The previous prime is 4102116059. The next prime is 4102116119. The reversal of 4102116077 is 7706112014.

4102116077 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3615737161 + 486378916 = 60131^2 + 22054^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102116077 - 2¹⁴ = 4102099693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4102116047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051058038 + 2051058039.

It is an arithmetic number, because the mean of its divisors is an integer number (2051058039).

Almost surely, 2^4102116077 is an apocalyptic number.

It is an amenable number.

4102116077 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102116077 is an equidigital number, since it uses as much as digits as its factorization.

4102116077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 4102116077 is about 64047.7640281064. The cubic root of 4102116077 is about 1600.7959681487.

The spelling of 4102116077 in words is "four billion, one hundred two million, one hundred sixteen thousand, seventy-seven".