221221102011 has 64 divisors (see below), whose sum is σ = 384868786176. Its totient is φ = 109871769600.

The previous prime is 221221102001. The next prime is 221221102033. The reversal of 221221102011 is 110201122122.

221221102011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221221102011 - 2⁶ = 221221101947 is a prime.

It is a super-2 number, since 2×221221102011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221221102001) 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, 40110 + ... + 666371.

It is an arithmetic number, because the mean of its divisors is an integer number (6013574784).

Almost surely, 2^221221102011 is an apocalyptic number.

221221102011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221221102011 is a deficient number, since it is larger than the sum of its proper divisors (163647684165).

221221102011 is a wasteful number, since it uses less digits than its factorization.

221221102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706572.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221221102011 its reverse (110201122122), we get a palindrome (331422224133).

It can be divided in two parts, 22122 and 1102011, that multiplied together give a palindrome (24378687342).

The spelling of 221221102011 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, eleven".