1010101101109 has 8 divisors (see below), whose sum is σ = 1010447829720. Its totient is φ = 1009754439936.

The previous prime is 1010101101089. The next prime is 1010101101167. The reversal of 1010101101109 is 9011011010101.

It can be written as a sum of positive squares in 4 ways, for example, as 148725922500 + 861375178609 = 385650^2 + 928103^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010101101109 - 2⁹ = 1010101100597 is a prime.

It is a super-2 number, since 2×1010101101109² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010101101092 and 1010101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101101509) 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 in 7 ways as a sum of consecutive naturals, for example, 63230047 + ... + 63246019.

It is an arithmetic number, because the mean of its divisors is an integer number (126305978715).

Almost surely, 2^{1010101101109} is an apocalyptic number.

It is an amenable number.

1010101101109 is a deficient number, since it is larger than the sum of its proper divisors (346728611).

1010101101109 is a wasteful number, since it uses less digits than its factorization.

1010101101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33719.

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

The spelling of 1010101101109 in words is "one trillion, ten billion, one hundred one million, one hundred one thousand, one hundred nine".