10006100510601 has 96 divisors (see below), whose sum is σ = 16016543216640. Its totient is φ = 5527723398912.

The previous prime is 10006100510591. The next prime is 10006100510671. The reversal of 10006100510601 is 10601500160001.

It is not a de Polignac number, because 10006100510601 - 2⁶ = 10006100510537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006100510671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23495775 + ... + 23917851.

It is an arithmetic number, because the mean of its divisors is an integer number (166838991840).

Almost surely, 2^{10006100510601} is an apocalyptic number.

It is an amenable number.

10006100510601 is a deficient number, since it is larger than the sum of its proper divisors (6010442706039).

10006100510601 is a wasteful number, since it uses less digits than its factorization.

10006100510601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422255 (or 422242 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10006100510601 its reverse (10601500160001), we get a palindrome (20607600670602).

The spelling of 10006100510601 in words is "ten trillion, six billion, one hundred million, five hundred ten thousand, six hundred one".