1011111102011 has 16 divisors (see below), whose sum is σ = 1040780822400. Its totient is φ = 981979435008.

The previous prime is 1011111102007. The next prime is 1011111102013. The reversal of 1011111102011 is 1102011111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011111102011 - 2² = 1011111102007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011111101983 and 1011111102001.

It is not an unprimeable number, because it can be changed into a prime (1011111102013) 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 15 ways as a sum of consecutive naturals, for example, 984425 + ... + 1729541.

It is an arithmetic number, because the mean of its divisors is an integer number (65048801400).

Almost surely, 2^{1011111102011} is an apocalyptic number.

1011111102011 is a deficient number, since it is larger than the sum of its proper divisors (29669720389).

1011111102011 is an equidigital number, since it uses as much as digits as its factorization.

1011111102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745478.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1011111102011 its reverse (1102011111101), we get a palindrome (2113122213112).

The spelling of 1011111102011 in words is "one trillion, eleven billion, one hundred eleven million, one hundred two thousand, eleven".