1011120012011 has 16 divisors (see below), whose sum is σ = 1049303144448. Its totient is φ = 973293499200.

The previous prime is 1011120011879. The next prime is 1011120012043. The reversal of 1011120012011 is 1102100211101.

It is a cyclic number.

It is not a de Polignac number, because 1011120012011 - 2²² = 1011115817707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011120011983 and 1011120012001.

It is not an unprimeable number, because it can be changed into a prime (1011120012061) 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, 6941450 + ... + 7085616.

It is an arithmetic number, because the mean of its divisors is an integer number (65581446528).

Almost surely, 2^{1011120012011} is an apocalyptic number.

1011120012011 is a deficient number, since it is larger than the sum of its proper divisors (38183132437).

1011120012011 is a wasteful number, since it uses less digits than its factorization.

1011120012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145402.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011120012011 its reverse (1102100211101), we get a palindrome (2113220223112).

The spelling of 1011120012011 in words is "one trillion, eleven billion, one hundred twenty million, twelve thousand, eleven".