10011011100111 has 80 divisors (see below), whose sum is σ = 17165032896000. Its totient is φ = 5695885645632.

The previous prime is 10011011100073. The next prime is 10011011100179. The reversal of 10011011100111 is 11100111011001.

It is not a de Polignac number, because 10011011100111 - 2¹⁸ = 10011010837967 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011011100093 and 10011011100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011140111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128682021 + ... + 128759793.

It is an arithmetic number, because the mean of its divisors is an integer number (214562911200).

Almost surely, 2^{10011011100111} is an apocalyptic number.

10011011100111 is a deficient number, since it is larger than the sum of its proper divisors (7154021795889).

10011011100111 is an equidigital number, since it uses as much as digits as its factorization.

10011011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78770 (or 78761 counting only the distinct ones).

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

Adding to 10011011100111 its reverse (11100111011001), we get a palindrome (21111122111112).

The spelling of 10011011100111 in words is "ten trillion, eleven billion, eleven million, one hundred thousand, one hundred eleven".