221102220122000 has 160 divisors (see below), whose sum is σ = 611108609879040. Its totient is φ = 75793024166400.

The previous prime is 221102220121987. The next prime is 221102220122011. The reversal of 221102220122000 is 221022201122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221102220122000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77659646 + ... + 80456354.

It is an arithmetic number, because the mean of its divisors is an integer number (3819428811744).

Almost surely, 2^{221102220122000} is an apocalyptic number.

221102220122000 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 221102220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305554304939520).

221102220122000 is an abundant number, since it is smaller than the sum of its proper divisors (390006389757040).

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

221102220122000 is a wasteful number, since it uses less digits than its factorization.

221102220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802386 (or 2802370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221102220122000 its reverse (221022201122), we get a palindrome (221323242323122).

The spelling of 221102220122000 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty million, one hundred twenty-two thousand".