2011101011101 has 8 divisors (see below), whose sum is σ = 2475201244544. Its totient is φ = 1591200799920.

The previous prime is 2011101011089. The next prime is 2011101011137. The reversal of 2011101011101 is 1011101011102.

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 2011101011101 - 2¹⁷ = 2011100880029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011101011401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11050005465 + ... + 11050005646.

It is an arithmetic number, because the mean of its divisors is an integer number (309400155568).

Almost surely, 2^{2011101011101} is an apocalyptic number.

It is an amenable number.

2011101011101 is a deficient number, since it is larger than the sum of its proper divisors (464100233443).

2011101011101 is a wasteful number, since it uses less digits than its factorization.

2011101011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22100011131.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2011101011101 its reverse (1011101011102), we get a palindrome (3022202022203).

Subtracting from 2011101011101 its reverse (1011101011102), we obtain a palindrome (999999999999).

The spelling of 2011101011101 in words is "two trillion, eleven billion, one hundred one million, eleven thousand, one hundred one".