100102002111109 has 2 divisors, whose sum is σ = 100102002111110. Its totient is φ = 100102002111108.

The previous prime is 100102002111077. The next prime is 100102002111169. The reversal of 100102002111109 is 901111200201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95795352000100 + 4306650111009 = 9787510^2 + 2075247^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102002111109 - 2⁵ = 100102002111077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102002111169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051001055554 + 50051001055555.

It is an arithmetic number, because the mean of its divisors is an integer number (50051001055555).

Almost surely, 2^{100102002111109} is an apocalyptic number.

It is an amenable number.

100102002111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102002111109 is an equidigital number, since it uses as much as digits as its factorization.

100102002111109 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 100102002111109 in words is "one hundred trillion, one hundred two billion, two million, one hundred eleven thousand, one hundred nine".