221102011221120 has 384 divisors, whose sum is σ = 792194168787840. Its totient is φ = 58928979492864.

The previous prime is 221102011221083. The next prime is 221102011221149. The reversal of 221102011221120 is 21122110201122.

221102011221120 is a `hidden beast` number, since 221 + 1 + 0 + 201 + 1 + 221 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 221102011221093 and 221102011221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290909437 + ... + 291668483.

It is an arithmetic number, because the mean of its divisors is an integer number (2063005647885).

Almost surely, 2^{221102011221120} is an apocalyptic number.

221102011221120 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 221102011221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396097084393920).

221102011221120 is an abundant number, since it is smaller than the sum of its proper divisors (571092157566720).

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

221102011221120 is an equidigital number, since it uses as much as digits as its factorization.

221102011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760954 (or 760930 counting only the distinct ones).

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

Adding to 221102011221120 its reverse (21122110201122), we get a palindrome (242224121422242).

The spelling of 221102011221120 in words is "two hundred twenty-one trillion, one hundred two billion, eleven million, two hundred twenty-one thousand, one hundred twenty".