102012001110109 has 2 divisors, whose sum is σ = 102012001110110. Its totient is φ = 102012001110108.

The previous prime is 102012001110043. The next prime is 102012001110119. The reversal of 102012001110109 is 901011100210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93745674595225 + 8266326514884 = 9682235^2 + 2875122^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012001110109 - 2¹⁷ = 102012000979037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102012001110119) 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, 51006000555054 + 51006000555055.

It is an arithmetic number, because the mean of its divisors is an integer number (51006000555055).

Almost surely, 2^{102012001110109} is an apocalyptic number.

It is an amenable number.

102012001110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012001110109 is an equidigital number, since it uses as much as digits as its factorization.

102012001110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 102012001110109 in words is "one hundred two trillion, twelve billion, one million, one hundred ten thousand, one hundred nine".