10000011111111 has 64 divisors (see below), whose sum is σ = 17823935308800. Its totient is φ = 5413059353088.

The previous prime is 10000011111109. The next prime is 10000011111151. The reversal of 10000011111111 is 11111111000001.

It is not a de Polignac number, because 10000011111111 - 2¹ = 10000011111109 is a prime.

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

10000011111111 is a modest number, since divided by 1111111 gives 1000001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000011111093 and 10000011111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011111151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42374635 + ... + 42609971.

It is an arithmetic number, because the mean of its divisors is an integer number (278498989200).

Almost surely, 2^{10000011111111} is an apocalyptic number.

10000011111111 is a deficient number, since it is larger than the sum of its proper divisors (7823924197689).

10000011111111 is a wasteful number, since it uses less digits than its factorization.

10000011111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247205 (or 247199 counting only the distinct ones).

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

Adding to 10000011111111 its reverse (11111111000001), we get a palindrome (21111122111112).

It can be divided in two parts, 1000001 and 1111111, that multiplied together give a palindrome (1111112111111).

The spelling of 10000011111111 in words is "ten trillion, eleven million, one hundred eleven thousand, one hundred eleven".