100010101000109 has 16 divisors (see below), whose sum is σ = 101442823104000. Its totient is φ = 98581653106560.

The previous prime is 100010101000087. The next prime is 100010101000219. The reversal of 100010101000109 is 901000101010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010101000109 - 2¹⁶ = 100010100934573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010101000093 and 100010101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010101200109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149050232 + ... + 149719710.

It is an arithmetic number, because the mean of its divisors is an integer number (6340176444000).

Almost surely, 2^{100010101000109} is an apocalyptic number.

It is an amenable number.

100010101000109 is a deficient number, since it is larger than the sum of its proper divisors (1432722103891).

100010101000109 is an equidigital number, since it uses as much as digits as its factorization.

100010101000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672668.

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

The spelling of 100010101000109 in words is "one hundred trillion, ten billion, one hundred one million, one hundred nine", and thus it is an aban number.