102211100101109 has 2 divisors, whose sum is σ = 102211100101110. Its totient is φ = 102211100101108.

The previous prime is 102211100101091. The next prime is 102211100101183. The reversal of 102211100101109 is 901101001112201.

Together with previous prime (102211100101091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79237503387025 + 22973596714084 = 8901545^2 + 4793078^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211100101109 - 2³⁶ = 102142380624373 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211100104109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105550050554 + 51105550050555.

It is an arithmetic number, because the mean of its divisors is an integer number (51105550050555).

Almost surely, 2^{102211100101109} is an apocalyptic number.

It is an amenable number.

102211100101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211100101109 is an equidigital number, since it uses as much as digits as its factorization.

102211100101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 102211100101109 in words is "one hundred two trillion, two hundred eleven billion, one hundred million, one hundred one thousand, one hundred nine".