111111011000001 has 6 divisors (see below), whose sum is σ = 160493682555570. Its totient is φ = 74074007333328.

The previous prime is 111111010999991. The next prime is 111111011000051. The reversal of 111111011000001 is 100000110111111.

It can be written as a sum of positive squares in only one way, i.e., 108010312625601 + 3100698374400 = 10392801^2 + 1760880^2 .

It is not a de Polignac number, because 111111011000001 - 2¹⁷ = 111111010868929 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: 12345667888889 = 111111011000001 / (1 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (111111011000051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6172833944436 + ... + 6172833944453.

It is an arithmetic number, because the mean of its divisors is an integer number (26748947092595).

Almost surely, 2^{111111011000001} is an apocalyptic number.

It is an amenable number.

111111011000001 is a deficient number, since it is larger than the sum of its proper divisors (49382671555569).

111111011000001 is a wasteful number, since it uses less digits than its factorization.

111111011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12345667888895 (or 12345667888892 counting only the distinct ones).

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

Adding to 111111011000001 its reverse (100000110111111), we get a palindrome (211111121111112).

The spelling of 111111011000001 in words is "one hundred eleven trillion, one hundred eleven billion, eleven million, one", and thus it is an aban number.