100101011101209 has 24 divisors (see below), whose sum is σ = 144981415800000. Its totient is φ = 66553561049760.

The previous prime is 100101011101111. The next prime is 100101011101211. The reversal of 100101011101209 is 902101110101001.

It is not a de Polignac number, because 100101011101209 - 2⁷ = 100101011101081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101011101191 and 100101011101200.

It is not an unprimeable number, because it can be changed into a prime (100101011181209) 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, 24347604 + ... + 28160394.

It is an arithmetic number, because the mean of its divisors is an integer number (6040892325000).

Almost surely, 2^{100101011101209} is an apocalyptic number.

It is an amenable number.

100101011101209 is a deficient number, since it is larger than the sum of its proper divisors (44880404698791).

100101011101209 is a wasteful number, since it uses less digits than its factorization.

100101011101209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820685 (or 3820682 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 100101011101209 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred one thousand, two hundred nine".