2011013101101 has 16 divisors (see below), whose sum is σ = 2736794920896. Its totient is φ = 1313043204096.

The previous prime is 2011013101057. The next prime is 2011013101183. The reversal of 2011013101101 is 1011013101102.

It is not a de Polignac number, because 2011013101101 - 2¹⁹ = 2011012576813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011013101301) 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, 11143060 + ... + 11322093.

It is an arithmetic number, because the mean of its divisors is an integer number (171049682556).

Almost surely, 2^{2011013101101} is an apocalyptic number.

It is an amenable number.

2011013101101 is a deficient number, since it is larger than the sum of its proper divisors (725781819795).

2011013101101 is a wasteful number, since it uses less digits than its factorization.

2011013101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22465772.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 2011013101101 its reverse (1011013101102), we get a palindrome (3022026202203).

Subtracting from 2011013101101 its reverse (1011013101102), we obtain a palindrome (999999999999).

The spelling of 2011013101101 in words is "two trillion, eleven billion, thirteen million, one hundred one thousand, one hundred one".