110010010101109 has 2 divisors, whose sum is σ = 110010010101110. Its totient is φ = 110010010101108.

The previous prime is 110010010101071. The next prime is 110010010101151. The reversal of 110010010101109 is 901101010010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64791069504100 + 45218940597009 = 8049290^2 + 6724503^2 .

It is an emirp because it is prime and its reverse (901101010010011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110010010101109 - 2¹⁵ = 110010010068341 is a prime.

It is a super-2 number, since 2×110010010101109² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110010010101092 and 110010010101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010010108109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005005050554 + 55005005050555.

It is an arithmetic number, because the mean of its divisors is an integer number (55005005050555).

Almost surely, 2^{110010010101109} is an apocalyptic number.

It is an amenable number.

110010010101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010010101109 is an equidigital number, since it uses as much as digits as its factorization.

110010010101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 110010010101109 in words is "one hundred ten trillion, ten billion, ten million, one hundred one thousand, one hundred nine".