221033310101120 has 512 divisors, whose sum is σ = 611657671680000. Its totient is φ = 75591947059200.

The previous prime is 221033310101111. The next prime is 221033310101129. The reversal of 221033310101120 is 21101013330122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221033310101111) and next prime (221033310101129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221033310101092 and 221033310101101.

It is not an unprimeable number, because it can be changed into a prime (221033310101129) by changing a digit.

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, 3082759031 + ... + 3082830729.

It is an arithmetic number, because the mean of its divisors is an integer number (1194643890000).

Almost surely, 2^{221033310101120} is an apocalyptic number.

221033310101120 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 221033310101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305828835840000).

221033310101120 is an abundant number, since it is smaller than the sum of its proper divisors (390624361578880).

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

221033310101120 is a wasteful number, since it uses less digits than its factorization.

221033310101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72072 (or 72060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 221033310101120 its reverse (21101013330122), we get a palindrome (242134323431242).

The spelling of 221033310101120 in words is "two hundred twenty-one trillion, thirty-three billion, three hundred ten million, one hundred one thousand, one hundred twenty".