101111110099871 has 2 divisors, whose sum is σ = 101111110099872. Its totient is φ = 101111110099870.

The previous prime is 101111110099759. The next prime is 101111110099913. The reversal of 101111110099871 is 178990011111101.

It is a strong prime.

It is an emirp because it is prime and its reverse (178990011111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111110099871 - 2³⁴ = 101093930230687 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111110099471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555049935 + 50555555049936.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555049936).

Almost surely, 2^{101111110099871} is an apocalyptic number.

101111110099871 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110099871 is an equidigital number, since it uses as much as digits as its factorization.

101111110099871 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 41.

The spelling of 101111110099871 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-nine thousand, eight hundred seventy-one".