10011001111111 has 32 divisors (see below), whose sum is σ = 13516435699200. Its totient is φ = 7160492465280.

The previous prime is 10011001111081. The next prime is 10011001111121. The reversal of 10011001111111 is 11111110011001.

It is a happy number.

It is not a de Polignac number, because 10011001111111 - 2⁷ = 10011001110983 is a prime.

10011001111111 is a modest number, since divided by 1111111 gives 1001100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27756576 + ... + 28114933.

It is an arithmetic number, because the mean of its divisors is an integer number (422388615600).

Almost surely, 2^{10011001111111} is an apocalyptic number.

10011001111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011001111111 is a deficient number, since it is larger than the sum of its proper divisors (3505434588089).

10011001111111 is a wasteful number, since it uses less digits than its factorization.

10011001111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55871719.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10011001111111 its reverse (11111110011001), we get a palindrome (21122111122112).

It can be divided in two parts, 10011001 and 111111, that multiplied together give a palindrome (1112332332111).

The spelling of 10011001111111 in words is "ten trillion, eleven billion, one million, one hundred eleven thousand, one hundred eleven".