101110110100009 has 16 divisors (see below), whose sum is σ = 104475108510720. Its totient is φ = 97751598094080.

The previous prime is 101110110099991. The next prime is 101110110100073. The reversal of 101110110100009 is 900001011011101.

It is a cyclic number.

It is not a de Polignac number, because 101110110100009 - 2¹¹ = 101110110097961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110110099965 and 101110110100001.

It is not an unprimeable number, because it can be changed into a prime (101110110100409) 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, 246804789 + ... + 247214125.

It is an arithmetic number, because the mean of its divisors is an integer number (6529694281920).

Almost surely, 2^{101110110100009} is an apocalyptic number.

It is an amenable number.

101110110100009 is a deficient number, since it is larger than the sum of its proper divisors (3364998410711).

101110110100009 is a wasteful number, since it uses less digits than its factorization.

101110110100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417240.

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

The spelling of 101110110100009 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred thousand, nine".