111101011000001 has 48 divisors (see below), whose sum is σ = 131001842111616. Its totient is φ = 93403346400000.

The previous prime is 111101010999947. The next prime is 111101011000061. The reversal of 111101011000001 is 100000110101111.

It is not a de Polignac number, because 111101011000001 - 2¹⁰ = 111101010998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111101011000061) 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 47 ways as a sum of consecutive naturals, for example, 26525261 + ... + 30426821.

It is an arithmetic number, because the mean of its divisors is an integer number (2729205043992).

Almost surely, 2^{111101011000001} is an apocalyptic number.

111101011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101011000001 is a deficient number, since it is larger than the sum of its proper divisors (19900831111615).

111101011000001 is a wasteful number, since it uses less digits than its factorization.

111101011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901782 (or 3901763 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111101011000001 its reverse (100000110101111), we get a palindrome (211101121101112).

The spelling of 111101011000001 in words is "one hundred eleven trillion, one hundred one billion, eleven million, one", and thus it is an aban number.