10101111111 has 48 divisors (see below), whose sum is σ = 18442924864. Its totient is φ = 5184041472.

The previous prime is 10101111109. The next prime is 10101111143. The reversal of 10101111111 is 11111110101.

10101111111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101111111 - 2¹ = 10101111109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

10101111111 is a modest number, since divided by 111111 gives 10101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10101111093 and 10101111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136366 + ... + 196971.

Almost surely, 2^10101111111 is an apocalyptic number.

10101111111 is a deficient number, since it is larger than the sum of its proper divisors (8341813753).

10101111111 is a wasteful number, since it uses less digits than its factorization.

10101111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333400 (or 333397 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101111111 its reverse (11111110101), we get a palindrome (21212221212).

It can be divided in two parts, 10101 and 111111, that multiplied together give a palindrome (1122332211).

The spelling of 10101111111 in words is "ten billion, one hundred one million, one hundred eleven thousand, one hundred eleven".