102111109985827 has 2 divisors, whose sum is σ = 102111109985828. Its totient is φ = 102111109985826.

The previous prime is 102111109985813. The next prime is 102111109985831. The reversal of 102111109985827 is 728589901111201.

It is a strong prime.

It is an emirp because it is prime and its reverse (728589901111201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102111109985827 - 2²⁷ = 102110975768099 is a prime.

It is a super-2 number, since 2×102111109985827² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102111109985897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055554992913 + 51055554992914.

It is an arithmetic number, because the mean of its divisors is an integer number (51055554992914).

Almost surely, 2^{102111109985827} is an apocalyptic number.

102111109985827 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111109985827 is an equidigital number, since it uses as much as digits as its factorization.

102111109985827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 55.

The spelling of 102111109985827 in words is "one hundred two trillion, one hundred eleven billion, one hundred nine million, nine hundred eighty-five thousand, eight hundred twenty-seven".