221020122121110 has 256 divisors, whose sum is σ = 646175749605120. Its totient is φ = 53426305658880.

The previous prime is 221020122121081. The next prime is 221020122121153. The reversal of 221020122121110 is 11121221020122.

221020122121110 is a `hidden beast` number, since 2 + 21 + 0 + 201 + 221 + 211 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 131269344 + ... + 132942396.

It is an arithmetic number, because the mean of its divisors is an integer number (2524124021895).

Almost surely, 2^{221020122121110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020122121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323087874802560).

221020122121110 is an abundant number, since it is smaller than the sum of its proper divisors (425155627484010).

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

221020122121110 is a wasteful number, since it uses less digits than its factorization.

221020122121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673760 (or 1673754 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221020122121110 its reverse (11121221020122), we get a palindrome (232141343141232).

The spelling of 221020122121110 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ten".