220120100 has 18 divisors (see below), whose sum is σ = 477660834. Its totient is φ = 88048000.

The previous prime is 220120081. The next prime is 220120127. The reversal of 220120100 is 1021022.

It can be written as a sum of positive squares in 3 ways, for example, as 3912484 + 216207616 = 1978^2 + 14704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100501 + ... + 1100700.

It is an arithmetic number, because the mean of its divisors is an integer number (26536713).

Almost surely, 2^220120100 is an apocalyptic number.

220120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120100 is an abundant number, since it is smaller than the sum of its proper divisors (257540734).

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

220120100 is a wasteful number, since it uses less digits than its factorization.

220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201215 (or 2201208 counting only the distinct ones).

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

The square root of 220120100 is about 14836.4449919784. Note that the first 3 decimals coincide. The cubic root of 220120100 is about 603.7909053582.

Adding to 220120100 its reverse (1021022), we get a palindrome (221141122).

The spelling of 220120100 in words is "two hundred twenty million, one hundred twenty thousand, one hundred".