10011001101111 has 6 divisors (see below), whose sum is σ = 14460334923840. Its totient is φ = 6674000734068.

The previous prime is 10011001101107. The next prime is 10011001101113. The reversal of 10011001101111 is 11110110011001.

It is not a de Polignac number, because 10011001101111 - 2² = 10011001101107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112333455679 = 10011001101111 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10011001101093 and 10011001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556166727831 + ... + 556166727848.

It is an arithmetic number, because the mean of its divisors is an integer number (2410055820640).

Almost surely, 2^{10011001101111} is an apocalyptic number.

10011001101111 is a deficient number, since it is larger than the sum of its proper divisors (4449333822729).

10011001101111 is a wasteful number, since it uses less digits than its factorization.

10011001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112333455685 (or 1112333455682 counting only the distinct ones).

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

Adding to 10011001101111 its reverse (11110110011001), we get a palindrome (21121111112112).

The spelling of 10011001101111 in words is "ten trillion, eleven billion, one million, one hundred one thousand, one hundred eleven".