10100605017 has 8 divisors (see below), whose sum is σ = 13467953824. Its totient is φ = 6733496448.

The previous prime is 10100605007. The next prime is 10100605037. The reversal of 10100605017 is 71050600101.

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

It is not a de Polignac number, because 10100605017 - 2⁴ = 10100605001 is a prime.

It is a super-3 number, since 3×10100605017³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100604984 and 10100605002.

It is not an unprimeable number, because it can be changed into a prime (10100605007) 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, 95913 + ... + 171465.

It is an arithmetic number, because the mean of its divisors is an integer number (1683494228).

Almost surely, 2^10100605017 is an apocalyptic number.

It is an amenable number.

10100605017 is a deficient number, since it is larger than the sum of its proper divisors (3367348807).

10100605017 is an equidigital number, since it uses as much as digits as its factorization.

10100605017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120119.

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 10100605017 in words is "ten billion, one hundred million, six hundred five thousand, seventeen".