101110100100009 has 64 divisors (see below), whose sum is σ = 181057538027520. Its totient is φ = 48471172542720.

The previous prime is 101110100100001. The next prime is 101110100100043. The reversal of 101110100100009 is 900001001011101.

It is not a de Polignac number, because 101110100100009 - 2³ = 101110100100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110100100001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6463612 + ... + 15620450.

It is an arithmetic number, because the mean of its divisors is an integer number (2829024031680).

Almost surely, 2^{101110100100009} is an apocalyptic number.

It is an amenable number.

101110100100009 is a deficient number, since it is larger than the sum of its proper divisors (79947437927511).

101110100100009 is a wasteful number, since it uses less digits than its factorization.

101110100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160550.

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

The spelling of 101110100100009 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred thousand, nine".