2011120211101 has 8 divisors (see below), whose sum is σ = 2048124592800. Its totient is φ = 1974213082800.

The previous prime is 2011120211083. The next prime is 2011120211161. The reversal of 2011120211101 is 1011120211102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011120211101 - 2⁷ = 2011120210973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120211161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24271611 + ... + 24354328.

It is an arithmetic number, because the mean of its divisors is an integer number (256015574100).

Almost surely, 2^{2011120211101} is an apocalyptic number.

It is an amenable number.

2011120211101 is a deficient number, since it is larger than the sum of its proper divisors (37004381699).

2011120211101 is an equidigital number, since it uses as much as digits as its factorization.

2011120211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48626699.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011120211101 its reverse (1011120211102), we get a palindrome (3022240422203).

Subtracting from 2011120211101 its reverse (1011120211102), we obtain a palindrome (999999999999).

The spelling of 2011120211101 in words is "two trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred one".