100100001100109 has 4 divisors (see below), whose sum is σ = 100100237341980. Its totient is φ = 100099764858240.

The previous prime is 100100001100097. The next prime is 100100001100133. The reversal of 100100001100109 is 901001100001001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75852777422500 + 24247223677609 = 8709350^2 + 4924147^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100001100109 - 2¹⁶ = 100100001034573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100001100093 and 100100001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001108109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117484214 + ... + 118333175.

It is an arithmetic number, because the mean of its divisors is an integer number (25025059335495).

Almost surely, 2^{100100001100109} is an apocalyptic number.

It is an amenable number.

100100001100109 is a deficient number, since it is larger than the sum of its proper divisors (236241871).

100100001100109 is an equidigital number, since it uses as much as digits as its factorization.

100100001100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236241870.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100100001100109 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, one hundred nine".