1000110101011 has 16 divisors (see below), whose sum is σ = 1160389601280. Its totient is φ = 844189917120.

The previous prime is 1000110101009. The next prime is 1000110101017. The reversal of 1000110101011 is 1101010110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000110101011 - 2¹ = 1000110101009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1000110100985 and 1000110101003.

It is not an unprimeable number, because it can be changed into a prime (1000110101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257951 + ... + 1892791.

It is an arithmetic number, because the mean of its divisors is an integer number (72524350080).

Almost surely, 2^{1000110101011} is an apocalyptic number.

1000110101011 is a deficient number, since it is larger than the sum of its proper divisors (160279500269).

1000110101011 is an equidigital number, since it uses as much as digits as its factorization.

1000110101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638274.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000110101011 its reverse (1101010110001), we get a palindrome (2101120211012).

The spelling of 1000110101011 in words is "one trillion, one hundred ten million, one hundred one thousand, eleven".