221221110121011 has 96 divisors (see below), whose sum is σ = 432121464552960. Its totient is φ = 105316886361600.

The previous prime is 221221110121009. The next prime is 221221110121069. The reversal of 221221110121011 is 110121011122122.

It is a happy number.

221221110121011 is a `hidden beast` number, since 221 + 2 + 211 + 10 + 1 + 210 + 11 = 666.

It is not a de Polignac number, because 221221110121011 - 2¹ = 221221110121009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221221110321011) 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 95 ways as a sum of consecutive naturals, for example, 87077130 + ... + 89581631.

It is an arithmetic number, because the mean of its divisors is an integer number (4501265255760).

Almost surely, 2^{221221110121011} is an apocalyptic number.

221221110121011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221221110121011 is a deficient number, since it is larger than the sum of its proper divisors (210900354431949).

221221110121011 is a wasteful number, since it uses less digits than its factorization.

221221110121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176658937 (or 176658934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221221110121011 its reverse (110121011122122), we get a palindrome (331342121243133).

The spelling of 221221110121011 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, eleven".