10000001000111 has 16 divisors (see below), whose sum is σ = 10150808155200. Its totient is φ = 9850061937408.

The previous prime is 10000001000083. The next prime is 10000001000123. The reversal of 10000001000111 is 11100010000001.

It is a cyclic number.

It is not a de Polignac number, because 10000001000111 - 2⁶ = 10000001000047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000001000095 and 10000001000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001000131) 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, 138982301 + ... + 139054233.

It is an arithmetic number, because the mean of its divisors is an integer number (634425509700).

Almost surely, 2^{10000001000111} is an apocalyptic number.

10000001000111 is a deficient number, since it is larger than the sum of its proper divisors (150807155089).

10000001000111 is an equidigital number, since it uses as much as digits as its factorization.

10000001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77938.

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

Adding to 10000001000111 its reverse (11100010000001), we get a palindrome (21100011000112).

The spelling of 10000001000111 in words is "ten trillion, one million, one hundred eleven", and thus it is an aban number.