201110101012011 has 16 divisors (see below), whose sum is σ = 283920615116928. Its totient is φ = 126186520041600.

The previous prime is 201110101011961. The next prime is 201110101012027. The reversal of 201110101012011 is 110210101011102.

It is not a de Polignac number, because 201110101012011 - 2⁶ = 201110101011947 is a prime.

It is a super-2 number, since 2×201110101012011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201110101011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31176856 + ... + 37070426.

It is an arithmetic number, because the mean of its divisors is an integer number (17745038444808).

Almost surely, 2^{201110101012011} is an apocalyptic number.

201110101012011 is a deficient number, since it is larger than the sum of its proper divisors (82810514104917).

201110101012011 is a wasteful number, since it uses less digits than its factorization.

201110101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562682.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201110101012011 its reverse (110210101011102), we get a palindrome (311320202023113).

Subtracting from 201110101012011 its reverse (110210101011102), we obtain a palindrome (90900000000909).

The spelling of 201110101012011 in words is "two hundred one trillion, one hundred ten billion, one hundred one million, twelve thousand, eleven".