10006100510111 has 8 divisors (see below), whose sum is σ = 10235409438720. Its totient is φ = 9779143468248.

The previous prime is 10006100510071. The next prime is 10006100510167. The reversal of 10006100510111 is 11101500160001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006100510111 is a prime.

It is a super-2 number, since 2×10006100510111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006100510111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006100510311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587963081 + ... + 587980098.

It is an arithmetic number, because the mean of its divisors is an integer number (1279426179840).

Almost surely, 2^{10006100510111} is an apocalyptic number.

10006100510111 is a deficient number, since it is larger than the sum of its proper divisors (229308928609).

10006100510111 is a wasteful number, since it uses less digits than its factorization.

10006100510111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175943373.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 10006100510111 its reverse (11101500160001), we get a palindrome (21107600670112).

The spelling of 10006100510111 in words is "ten trillion, six billion, one hundred million, five hundred ten thousand, one hundred eleven".