102112111321109 has 2 divisors, whose sum is σ = 102112111321110. Its totient is φ = 102112111321108.

The previous prime is 102112111321069. The next prime is 102112111321123. The reversal of 102112111321109 is 901123111211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66969623149009 + 35142488172100 = 8183497^2 + 5928110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112111321109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112111321309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056055660554 + 51056055660555.

It is an arithmetic number, because the mean of its divisors is an integer number (51056055660555).

Almost surely, 2^{102112111321109} is an apocalyptic number.

It is an amenable number.

102112111321109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112111321109 is an equidigital number, since it uses as much as digits as its factorization.

102112111321109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 102112111321109 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand, one hundred nine".