2011135544121 has 64 divisors (see below), whose sum is σ = 2966997196800. Its totient is φ = 1201610592000.

The previous prime is 2011135544083. The next prime is 2011135544141. The reversal of 2011135544121 is 1214455311102.

It is not a de Polignac number, because 2011135544121 - 2⁶ = 2011135544057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011135544141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080673731 + ... + 1080675591.

It is an arithmetic number, because the mean of its divisors is an integer number (46359331200).

Almost surely, 2^{2011135544121} is an apocalyptic number.

It is an amenable number.

2011135544121 is a deficient number, since it is larger than the sum of its proper divisors (955861652679).

2011135544121 is a wasteful number, since it uses less digits than its factorization.

2011135544121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 2011135544121 in words is "two trillion, eleven billion, one hundred thirty-five million, five hundred forty-four thousand, one hundred twenty-one".