2011110100221 has 16 divisors (see below), whose sum is σ = 2754619530624. Its totient is φ = 1304187920064.

The previous prime is 2011110100201. The next prime is 2011110100331. The reversal of 2011110100221 is 1220010111102.

It is not a de Polignac number, because 2011110100221 - 2⁶ = 2011110100157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011110100197 and 2011110100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011110100201) 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, 1733121 + ... + 2650646.

It is an arithmetic number, because the mean of its divisors is an integer number (172163720664).

Almost surely, 2^{2011110100221} is an apocalyptic number.

It is an amenable number.

2011110100221 is a deficient number, since it is larger than the sum of its proper divisors (743509430403).

2011110100221 is a wasteful number, since it uses less digits than its factorization.

2011110100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387940.

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

Adding to 2011110100221 its reverse (1220010111102), we get a palindrome (3231120211323).

The spelling of 2011110100221 in words is "two trillion, eleven billion, one hundred ten million, one hundred thousand, two hundred twenty-one".