220201020101120 has 320 divisors, whose sum is σ = 552903259962240. Its totient is φ = 84034780397568.

The previous prime is 220201020101099. The next prime is 220201020101273. The reversal of 220201020101120 is 21101020102022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 220201020101095 and 220201020101104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019563064 + ... + 1019779016.

It is an arithmetic number, because the mean of its divisors is an integer number (1727822687382).

Almost surely, 2^{220201020101120} is an apocalyptic number.

220201020101120 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 220201020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276451629981120).

220201020101120 is an abundant number, since it is smaller than the sum of its proper divisors (332702239861120).

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

220201020101120 is a wasteful number, since it uses less digits than its factorization.

220201020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216235 (or 216219 counting only the distinct ones).

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

Adding to 220201020101120 its reverse (21101020102022), we get a palindrome (241302040203142).

The spelling of 220201020101120 in words is "two hundred twenty trillion, two hundred one billion, twenty million, one hundred one thousand, one hundred twenty".