1011122211011 has 16 divisors (see below), whose sum is σ = 1121324563968. Its totient is φ = 903972247200.

The previous prime is 1011122210953. The next prime is 1011122211013. The reversal of 1011122211011 is 1101122211101.

1011122211011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1011122211011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011122211013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3722360 + ... + 3984746.

It is an arithmetic number, because the mean of its divisors is an integer number (70082785248).

Almost surely, 2^{1011122211011} is an apocalyptic number.

1011122211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011122211011 is a deficient number, since it is larger than the sum of its proper divisors (110202352957).

1011122211011 is a wasteful number, since it uses less digits than its factorization.

1011122211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268202.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011122211011 its reverse (1101122211101), we get a palindrome (2112244422112).

The spelling of 1011122211011 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, eleven".