101004000516 has 24 divisors (see below), whose sum is σ = 261862223840. Its totient is φ = 33668000136.

The previous prime is 101004000497. The next prime is 101004000533. The reversal of 101004000516 is 615000400101.

101004000516 is a `hidden beast` number, since 10 + 100 + 40 + 0 + 0 + 516 = 666.

It is a super-2 number, since 2×101004000516² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467611006 + ... + 467611221.

Almost surely, 2^101004000516 is an apocalyptic number.

It is an amenable number.

101004000516 is an abundant number, since it is smaller than the sum of its proper divisors (160858223324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101004000516 is a wasteful number, since it uses less digits than its factorization.

101004000516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935222240 (or 935222232 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101004000516 its reverse (615000400101), we get a palindrome (716004400617).

The spelling of 101004000516 in words is "one hundred one billion, four million, five hundred sixteen", and thus it is an aban number.