100010001109 has 8 divisors (see below), whose sum is σ = 101901781080. Its totient is φ = 98118398976.

The previous prime is 100010001103. The next prime is 100010001121. The reversal of 100010001109 is 901100010001.

It can be written as a sum of positive squares in 4 ways, for example, as 12957268900 + 87052732209 = 113830^2 + 295047^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010001109 - 2³ = 100010001101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832829 + ... + 1886605.

It is an arithmetic number, because the mean of its divisors is an integer number (12737722635).

Almost surely, 2^100010001109 is an apocalyptic number.

It is an amenable number.

100010001109 is a deficient number, since it is larger than the sum of its proper divisors (1891779971).

100010001109 is an equidigital number, since it uses as much as digits as its factorization.

100010001109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88919.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100010001109 in words is "one hundred billion, ten million, one thousand, one hundred nine".