101110000409 has 8 divisors (see below), whose sum is σ = 110304122880. Its totient is φ = 91916262000.

The previous prime is 101110000403. The next prime is 101110000457. The reversal of 101110000409 is 904000011101.

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 101110000409 - 2²⁴ = 101093223193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110000403) 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, 949352 + ... + 1050470.

It is an arithmetic number, because the mean of its divisors is an integer number (13788015360).

Almost surely, 2^101110000409 is an apocalyptic number.

It is an amenable number.

101110000409 is a deficient number, since it is larger than the sum of its proper divisors (9194122471).

101110000409 is a wasteful number, since it uses less digits than its factorization.

101110000409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192031.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101110000409 in words is "one hundred one billion, one hundred ten million, four hundred nine", and thus it is an aban number.