1000101110109 has 16 divisors (see below), whose sum is σ = 1335896686080. Its totient is φ = 665520849200.

The previous prime is 1000101110083. The next prime is 1000101110161. The reversal of 1000101110109 is 9010111010001.

It is a cyclic number.

It is not a de Polignac number, because 1000101110109 - 2¹² = 1000101106013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101110209) 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 15 ways as a sum of consecutive naturals, for example, 3731602 + ... + 3990620.

It is an arithmetic number, because the mean of its divisors is an integer number (83493542880).

Almost surely, 2^{1000101110109} is an apocalyptic number.

It is an amenable number.

1000101110109 is a deficient number, since it is larger than the sum of its proper divisors (335795575971).

1000101110109 is a wasteful number, since it uses less digits than its factorization.

1000101110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261360.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1000101110109 in words is "one trillion, one hundred one million, one hundred ten thousand, one hundred nine".