221102200221120 has 448 divisors, whose sum is σ = 780970752000000. Its totient is φ = 58887211548672.

The previous prime is 221102200221109. The next prime is 221102200221167. The reversal of 221102200221120 is 21122002201122.

It is a happy number.

221102200221120 is a `hidden beast` number, since 2 + 21 + 102 + 200 + 221 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221102200221093 and 221102200221102.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 44017954929 + ... + 44017959951.

Almost surely, 2^{221102200221120} is an apocalyptic number.

221102200221120 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 221102200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390485376000000).

221102200221120 is an abundant number, since it is smaller than the sum of its proper divisors (559868551778880).

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

221102200221120 is a wasteful number, since it uses less digits than its factorization.

221102200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221102200221120 its reverse (21122002201122), we get a palindrome (242224202422242).

The spelling of 221102200221120 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".