221102122102110 has 384 divisors, whose sum is σ = 615415442653440. Its totient is φ = 54950320668672.

The previous prime is 221102122102031. The next prime is 221102122102139. The reversal of 221102122102110 is 11201221201122.

221102122102110 is a `hidden beast` number, since 2 + 21 + 10 + 212 + 210 + 211 + 0 = 666.

It is a super-2 number, since 2×221102122102110² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12556190986 + ... + 12556208594.

It is an arithmetic number, because the mean of its divisors is an integer number (1602644381910).

Almost surely, 2^{221102122102110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102122102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307707721326720).

221102122102110 is an abundant number, since it is smaller than the sum of its proper divisors (394313320551330).

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

221102122102110 is a wasteful number, since it uses less digits than its factorization.

221102122102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18484 (or 18481 counting only the distinct ones).

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

Adding to 221102122102110 its reverse (11201221201122), we get a palindrome (232303343303232).

The spelling of 221102122102110 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred ten".