220021122100 has 36 divisors (see below), whose sum is σ = 514172440684. Its totient is φ = 81238567680.

The previous prime is 220021122067. The next prime is 220021122109. The reversal of 220021122100 is 1221120022.

It is a happy number.

220021122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 89581687204 + 130439434896 = 299302^2 + 361164^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84622209 + ... + 84624808.

Almost surely, 2^220021122100 is an apocalyptic number.

220021122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021122100 is an abundant number, since it is smaller than the sum of its proper divisors (294151318584).

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

220021122100 is a wasteful number, since it uses less digits than its factorization.

220021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169247044 (or 169247037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220021122100 its reverse (1221120022), we get a palindrome (221242242122).

The spelling of 220021122100 in words is "two hundred twenty billion, twenty-one million, one hundred twenty-two thousand, one hundred".