220201101120 has 1344 divisors, whose sum is σ = 973871990784. Its totient is φ = 40689008640.

The previous prime is 220201101097. The next prime is 220201101149. The reversal of 220201101120 is 21101102022.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220201101096 and 220201101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3016453404 + ... + 3016453476.

It is an arithmetic number, because the mean of its divisors is an integer number (724607136).

Almost surely, 2^220201101120 is an apocalyptic number.

220201101120 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 220201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486935995392).

220201101120 is an abundant number, since it is smaller than the sum of its proper divisors (753670889664).

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

220201101120 is a wasteful number, since it uses less digits than its factorization.

220201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220201101120 its reverse (21101102022), we get a palindrome (241302203142).

The spelling of 220201101120 in words is "two hundred twenty billion, two hundred one million, one hundred one thousand, one hundred twenty".