100100100001009 has 4 divisors (see below), whose sum is σ = 100624184294400. Its totient is φ = 99576015707620.

The previous prime is 100100100000973. The next prime is 100100100001039. The reversal of 100100100001009 is 900100001001001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100100100001009 - 2²⁷ = 100099965783281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100001009.

It is not an unprimeable number, because it can be changed into a prime (100100100001039) 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, 262042146409 + ... + 262042146790.

It is an arithmetic number, because the mean of its divisors is an integer number (25156046073600).

Almost surely, 2^{100100100001009} is an apocalyptic number.

It is an amenable number.

100100100001009 is a deficient number, since it is larger than the sum of its proper divisors (524084293391).

100100100001009 is an equidigital number, since it uses as much as digits as its factorization.

100100100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524084293390.

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

The spelling of 100100100001009 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, nine".