100001011101009 has 24 divisors (see below), whose sum is σ = 141761086911360. Its totient is φ = 62628778545984.

The previous prime is 100001011100989. The next prime is 100001011101071. The reversal of 100001011101009 is 900101110100001.

It is not a de Polignac number, because 100001011101009 - 2³⁶ = 99932291624273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001011100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419689849 + ... + 419928054.

It is an arithmetic number, because the mean of its divisors is an integer number (5906711954640).

Almost surely, 2^{100001011101009} is an apocalyptic number.

It is an amenable number.

100001011101009 is a deficient number, since it is larger than the sum of its proper divisors (41760075810351).

100001011101009 is an equidigital number, since it uses as much as digits as its factorization.

100001011101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839618009 (or 839617972 counting only the distinct ones).

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

The spelling of 100001011101009 in words is "one hundred trillion, one billion, eleven million, one hundred one thousand, nine".