2011101112221 has 32 divisors (see below), whose sum is σ = 2826697668480. Its totient is φ = 1268325273600.

The previous prime is 2011101112219. The next prime is 2011101112231. The reversal of 2011101112221 is 1222111011102.

It is a happy number.

It is not a de Polignac number, because 2011101112221 - 2¹ = 2011101112219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011101112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011101112231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294318421 + ... + 294325253.

It is an arithmetic number, because the mean of its divisors is an integer number (88334302140).

Almost surely, 2^{2011101112221} is an apocalyptic number.

It is an amenable number.

2011101112221 is a deficient number, since it is larger than the sum of its proper divisors (815596556259).

2011101112221 is a wasteful number, since it uses less digits than its factorization.

2011101112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13597.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011101112221 its reverse (1222111011102), we get a palindrome (3233212123323).

The spelling of 2011101112221 in words is "two trillion, eleven billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".