221121011212110 has 320 divisors, whose sum is σ = 617231257315200. Its totient is φ = 56732755968000.

The previous prime is 221121011212109. The next prime is 221121011212117. The reversal of 221121011212110 is 11212110121122.

It is a happy number.

221121011212110 is a `hidden beast` number, since 2 + 211 + 210 + 11 + 21 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121011212117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9711482806 + ... + 9711505574.

It is an arithmetic number, because the mean of its divisors is an integer number (1928847679110).

Almost surely, 2^{221121011212110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121011212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308615628657600).

221121011212110 is an abundant number, since it is smaller than the sum of its proper divisors (396110246103090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221121011212110 is a wasteful number, since it uses less digits than its factorization.

221121011212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24249 (or 24240 counting only the distinct ones).

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

Adding to 221121011212110 its reverse (11212110121122), we get a palindrome (232333121333232).

The spelling of 221121011212110 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred ten".