220101120 has 240 divisors, whose sum is σ = 784215432. Its totient is φ = 57016320.

The previous prime is 220101113. The next prime is 220101121. The reversal of 220101120 is 21101022.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 136048896 = 9168^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944524 + ... + 944756.

Almost surely, 2^220101120 is an apocalyptic number.

220101120 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 220101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392107716).

220101120 is an abundant number, since it is smaller than the sum of its proper divisors (564114312).

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

220101120 is a wasteful number, since it uses less digits than its factorization.

220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 220101120 is about 14835.8053370891. The cubic root of 220101120 is about 603.7735507704.

Adding to 220101120 its reverse (21101022), we get a palindrome (241202142).

The spelling of 220101120 in words is "two hundred twenty million, one hundred one thousand, one hundred twenty".