220022220100 has 72 divisors (see below), whose sum is σ = 479001982536. Its totient is φ = 87722880000.

The previous prime is 220022220091. The next prime is 220022220127. The reversal of 220022220100 is 1022220022.

It can be written as a sum of positive squares in 12 ways, for example, as 122658251076 + 97363969024 = 350226^2 + 312032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90134880 + ... + 90137320.

It is an arithmetic number, because the mean of its divisors is an integer number (6652805313).

Almost surely, 2^220022220100 is an apocalyptic number.

220022220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022220100 is an abundant number, since it is smaller than the sum of its proper divisors (258979762436).

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

220022220100 is a wasteful number, since it uses less digits than its factorization.

220022220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220022220100 its reverse (1022220022), we get a palindrome (221044440122).

The spelling of 220022220100 in words is "two hundred twenty billion, twenty-two million, two hundred twenty thousand, one hundred".