10000101110109 has 16 divisors (see below), whose sum is σ = 14546582290944. Its totient is φ = 6060258724400.

The previous prime is 10000101110071. The next prime is 10000101110123. The reversal of 10000101110109 is 90101110100001.

It is a cyclic number.

It is not a de Polignac number, because 10000101110109 - 2¹¹ = 10000101108061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101110309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9718137 + ... + 10697774.

It is an arithmetic number, because the mean of its divisors is an integer number (909161393184).

Almost surely, 2^{10000101110109} is an apocalyptic number.

It is an amenable number.

10000101110109 is a deficient number, since it is larger than the sum of its proper divisors (4546481180835).

10000101110109 is a wasteful number, since it uses less digits than its factorization.

10000101110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20430768.

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

The spelling of 10000101110109 in words is "ten trillion, one hundred one million, one hundred ten thousand, one hundred nine".