2011110120201 has 64 divisors (see below), whose sum is σ = 3393582886400. Its totient is φ = 1030885595136.

The previous prime is 2011110120163. The next prime is 2011110120223. The reversal of 2011110120201 is 1020210111102.

It is not a de Polignac number, because 2011110120201 - 2⁶ = 2011110120137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011110124201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8253645 + ... + 8493813.

It is an arithmetic number, because the mean of its divisors is an integer number (53024732600).

Almost surely, 2^{2011110120201} is an apocalyptic number.

2011110120201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011110120201 is a deficient number, since it is larger than the sum of its proper divisors (1382472766199).

2011110120201 is a wasteful number, since it uses less digits than its factorization.

2011110120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241058.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011110120201 its reverse (1020210111102), we get a palindrome (3031320231303).

Subtracting from 2011110120201 its reverse (1020210111102), we obtain a palindrome (990900009099).

The spelling of 2011110120201 in words is "two trillion, eleven billion, one hundred ten million, one hundred twenty thousand, two hundred one".