10001000000111 has 16 divisors (see below), whose sum is σ = 10377069225600. Its totient is φ = 9631883923200.

The previous prime is 10001000000041. The next prime is 10001000000143. The reversal of 10001000000111 is 11100000010001.

It is a cyclic number.

It is not a de Polignac number, because 10001000000111 - 2²² = 10000995805807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000000095 and 10001000000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000000711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917796 + ... + 5339993.

It is an arithmetic number, because the mean of its divisors is an integer number (648566826600).

Almost surely, 2^{10001000000111} is an apocalyptic number.

10001000000111 is a deficient number, since it is larger than the sum of its proper divisors (376069225489).

10001000000111 is a wasteful number, since it uses less digits than its factorization.

10001000000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258210.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001000000111 its reverse (11100000010001), we get a palindrome (21101000010112).

The spelling of 10001000000111 in words is "ten trillion, one billion, one hundred eleven", and thus it is an aban number.