2011130110101 has 16 divisors (see below), whose sum is σ = 3084874446848. Its totient is φ = 1141606494000.

The previous prime is 2011130110039. The next prime is 2011130110103. The reversal of 2011130110101 is 1010110311102.

It is not a de Polignac number, because 2011130110101 - 2⁶ = 2011130110037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011130110103) 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, 317109745 + ... + 317116086.

It is an arithmetic number, because the mean of its divisors is an integer number (192804652928).

Almost surely, 2^{2011130110101} is an apocalyptic number.

2011130110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011130110101 is a deficient number, since it is larger than the sum of its proper divisors (1073744336747).

2011130110101 is a wasteful number, since it uses less digits than its factorization.

2011130110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634225992.

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

Adding to 2011130110101 its reverse (1010110311102), we get a palindrome (3021240421203).

The spelling of 2011130110101 in words is "two trillion, eleven billion, one hundred thirty million, one hundred ten thousand, one hundred one".