101000110009 has 8 divisors (see below), whose sum is σ = 103306197960. Its totient is φ = 98708852736.

The previous prime is 101000109983. The next prime is 101000110019. The reversal of 101000110009 is 900011000101.

It can be written as a sum of positive squares in 4 ways, for example, as 78066036409 + 22934073600 = 279403^2 + 151440^2 .

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 101000110009 - 2²⁵ = 100966555577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000110019) 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, 3693894 + ... + 3721135.

It is an arithmetic number, because the mean of its divisors is an integer number (12913274745).

Almost surely, 2^101000110009 is an apocalyptic number.

It is an amenable number.

101000110009 is a deficient number, since it is larger than the sum of its proper divisors (2306087951).

101000110009 is an equidigital number, since it uses as much as digits as its factorization.

101000110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415339.

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

The spelling of 101000110009 in words is "one hundred one billion, one hundred ten thousand, nine".