10005111616101 has 24 divisors (see below), whose sum is σ = 15705097771104. Its totient is φ = 5648324623200.

The previous prime is 10005111616039. The next prime is 10005111616111. The reversal of 10005111616101 is 10161611150001.

It is not a de Polignac number, because 10005111616101 - 2⁶ = 10005111616037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005111616111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409999750 + ... + 410024151.

It is an arithmetic number, because the mean of its divisors is an integer number (654379073796).

Almost surely, 2^{10005111616101} is an apocalyptic number.

It is an amenable number.

10005111616101 is a deficient number, since it is larger than the sum of its proper divisors (5699986155003).

10005111616101 is an equidigital number, since it uses as much as digits as its factorization.

10005111616101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820024001 (or 820023994 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 10005111616101 its reverse (10161611150001), we get a palindrome (20166722766102).

The spelling of 10005111616101 in words is "ten trillion, five billion, one hundred eleven million, six hundred sixteen thousand, one hundred one".