10010000000111 has 16 divisors (see below), whose sum is σ = 10782137984640. Its totient is φ = 9262401956640.

The previous prime is 10010000000093. The next prime is 10010000000137. The reversal of 10010000000111 is 11100000001001.

10010000000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010000000111 - 2¹⁴ = 10009999983727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010000000095 and 10010000000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000002111) 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, 42383396 + ... + 42618918.

It is an arithmetic number, because the mean of its divisors is an integer number (673883624040).

Almost surely, 2^{10010000000111} is an apocalyptic number.

10010000000111 is a deficient number, since it is larger than the sum of its proper divisors (772137984529).

10010000000111 is a wasteful number, since it uses less digits than its factorization.

10010000000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287606.

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

Adding to 10010000000111 its reverse (11100000001001), we get a palindrome (21110000001112).

The spelling of 10010000000111 in words is "ten trillion, ten billion, one hundred eleven", and thus it is an aban number.