102711775771 has 48 divisors (see below), whose sum is σ = 121655151072. Its totient is φ = 86335856640.

The previous prime is 102711775769. The next prime is 102711775799. The reversal of 102711775771 is 177577117201.

It is not a de Polignac number, because 102711775771 - 2¹ = 102711775769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102711775871) 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 in 47 ways as a sum of consecutive naturals, for example, 42494355 + ... + 42496771.

It is an arithmetic number, because the mean of its divisors is an integer number (2534482314).

Almost surely, 2^102711775771 is an apocalyptic number.

102711775771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102711775771 is a deficient number, since it is larger than the sum of its proper divisors (18943375301).

102711775771 is a wasteful number, since it uses less digits than its factorization.

102711775771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 168070, while the sum is 46.

The spelling of 102711775771 in words is "one hundred two billion, seven hundred eleven million, seven hundred seventy-five thousand, seven hundred seventy-one".