221002020101120 has 176 divisors, whose sum is σ = 558071819120640. Its totient is φ = 83744600702976.

The previous prime is 221002020101113. The next prime is 221002020101129. The reversal of 221002020101120 is 21101020200122.

It is a junction number, because it is equal to n+sod(n) for n = 221002020101095 and 221002020101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002020101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177468589 + ... + 4177521491.

It is an arithmetic number, because the mean of its divisors is an integer number (3170862608640).

Almost surely, 2^{221002020101120} is an apocalyptic number.

221002020101120 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 221002020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279035909560320).

221002020101120 is an abundant number, since it is smaller than the sum of its proper divisors (337069799019520).

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

221002020101120 is a wasteful number, since it uses less digits than its factorization.

221002020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95890 (or 95872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221002020101120 its reverse (21101020200122), we get a palindrome (242103040301242).

The spelling of 221002020101120 in words is "two hundred twenty-one trillion, two billion, twenty million, one hundred one thousand, one hundred twenty".