221102121102012 has 144 divisors (see below), whose sum is σ = 562408234708320. Its totient is φ = 73238649071616.

The previous prime is 221102121101987. The next prime is 221102121102029. The reversal of 221102121102012 is 210201121201122.

221102121102012 is a `hidden beast` number, since 221 + 10 + 21 + 211 + 0 + 201 + 2 = 666.

221102121102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221102121102012² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24385362303 + ... + 24385371369.

It is an arithmetic number, because the mean of its divisors is an integer number (3905612741030).

Almost surely, 2^{221102121102012} is an apocalyptic number.

It is an amenable number.

221102121102012 is an abundant number, since it is smaller than the sum of its proper divisors (341306113606308).

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

221102121102012 is a wasteful number, since it uses less digits than its factorization.

221102121102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 13015 counting only the distinct ones).

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

Adding to 221102121102012 its reverse (210201121201122), we get a palindrome (431303242303134).

The spelling of 221102121102012 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, one hundred two thousand, twelve".