221102222202120 has 512 divisors, whose sum is σ = 766781638963200. Its totient is φ = 49959942746112.

The previous prime is 221102222202101. The next prime is 221102222202131. The reversal of 221102222202120 is 21202222201122.

221102222202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57029201622 + ... + 57029205498.

It is an arithmetic number, because the mean of its divisors is an integer number (1497620388600).

Almost surely, 2^{221102222202120} is an apocalyptic number.

221102222202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102222202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383390819481600).

221102222202120 is an abundant number, since it is smaller than the sum of its proper divisors (545679416761080).

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

221102222202120 is a wasteful number, since it uses less digits than its factorization.

221102222202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221102222202120 its reverse (21202222201122), we get a palindrome (242304444403242).

The spelling of 221102222202120 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty".