10005100616601 has 48 divisors (see below), whose sum is σ = 15624426438400. Its totient is φ = 6147893965824.

The previous prime is 10005100616569. The next prime is 10005100616617. The reversal of 10005100616601 is 10661600150001.

10005100616601 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 51 + 0 + 0 + 6 + 1 + 6 + 601 = 666.

It is not a de Polignac number, because 10005100616601 - 2⁵ = 10005100616569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005100616801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170540265 + ... + 170598921.

Almost surely, 2^{10005100616601} is an apocalyptic number.

It is an amenable number.

10005100616601 is a deficient number, since it is larger than the sum of its proper divisors (5619325821799).

10005100616601 is a wasteful number, since it uses less digits than its factorization.

10005100616601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85678 (or 85675 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10005100616601 its reverse (10661600150001), we get a palindrome (20666700766602).

The spelling of 10005100616601 in words is "ten trillion, five billion, one hundred million, six hundred sixteen thousand, six hundred one".