101100110001009 has 48 divisors (see below), whose sum is σ = 166034776114368. Its totient is φ = 54372375042048.

The previous prime is 101100110001001. The next prime is 101100110001013. The reversal of 101100110001009 is 900100011001101.

It is not a de Polignac number, because 101100110001009 - 2³ = 101100110001001 is a prime.

It is a super-2 number, since 2×101100110001009² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101100110001001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197532777 + ... + 198043929.

It is an arithmetic number, because the mean of its divisors is an integer number (3459057835716).

Almost surely, 2^{101100110001009} is an apocalyptic number.

It is an amenable number.

101100110001009 is a deficient number, since it is larger than the sum of its proper divisors (64934666113359).

101100110001009 is a wasteful number, since it uses less digits than its factorization.

101100110001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590334 (or 590327 counting only the distinct ones).

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

The spelling of 101100110001009 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one thousand, nine".