1011006100617 has 8 divisors (see below), whose sum is σ = 1349149551360. Its totient is φ = 673433358480.

The previous prime is 1011006100603. The next prime is 1011006100627. The reversal of 1011006100617 is 7160016001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1011006100617 - 2²³ = 1010997712009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011006100627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142673017 + ... + 142680102.

It is an arithmetic number, because the mean of its divisors is an integer number (168643693920).

Almost surely, 2^{1011006100617} is an apocalyptic number.

It is an amenable number.

1011006100617 is a deficient number, since it is larger than the sum of its proper divisors (338143450743).

1011006100617 is a wasteful number, since it uses less digits than its factorization.

1011006100617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285354303.

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 1011006100617 in words is "one trillion, eleven billion, six million, one hundred thousand, six hundred seventeen".