102111001000111 has 2 divisors, whose sum is σ = 102111001000112. Its totient is φ = 102111001000110.

The previous prime is 102111001000097. The next prime is 102111001000121. The reversal of 102111001000111 is 111000100111201.

It is an a-pointer prime, because the next prime (102111001000121) can be obtained adding 102111001000111 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102111001000111 - 2²⁵ = 102110967445679 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111001000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055500500055 + 51055500500056.

It is an arithmetic number, because the mean of its divisors is an integer number (51055500500056).

Almost surely, 2^{102111001000111} is an apocalyptic number.

102111001000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111001000111 is an equidigital number, since it uses as much as digits as its factorization.

102111001000111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 102111001000111 its reverse (111000100111201), we get a palindrome (213111101111312).

It can be divided in two parts, 10211100 and 1000111, that added together give a palindrome (11211211).

The spelling of 102111001000111 in words is "one hundred two trillion, one hundred eleven billion, one million, one hundred eleven", and thus it is an aban number.