101004000517 has 12 divisors (see below), whose sum is σ = 117657904320. Its totient is φ = 86454417336.

The previous prime is 101004000497. The next prime is 101004000533. The reversal of 101004000517 is 715000400101.

It is not a de Polignac number, because 101004000517 - 2¹⁵ = 101003967749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101004000494 and 101004000503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004000917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398223 + ... + 1468684.

It is an arithmetic number, because the mean of its divisors is an integer number (9804825360).

Almost surely, 2^101004000517 is an apocalyptic number.

It is an amenable number.

101004000517 is a deficient number, since it is larger than the sum of its proper divisors (16653903803).

101004000517 is an equidigital number, since it uses as much as digits as its factorization.

101004000517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867640 (or 2867633 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 101004000517 its reverse (715000400101), we get a palindrome (816004400618).

The spelling of 101004000517 in words is "one hundred one billion, four million, five hundred seventeen", and thus it is an aban number.