220021102220220 has 384 divisors, whose sum is σ = 864328427827200. Its totient is φ = 45274345611264.

The previous prime is 220021102220209. The next prime is 220021102220239. The reversal of 220021102220220 is 22022201120022.

220021102220220 is a `hidden beast` number, since 2 + 200 + 21 + 1 + 0 + 2 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220021102220193 and 220021102220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72955065 + ... + 75911024.

It is an arithmetic number, because the mean of its divisors is an integer number (2250855280800).

Almost surely, 2^{220021102220220} is an apocalyptic number.

220021102220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021102220220 is an abundant number, since it is smaller than the sum of its proper divisors (644307325606980).

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

220021102220220 is a wasteful number, since it uses less digits than its factorization.

220021102220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148866154 (or 148866146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220021102220220 its reverse (22022201120022), we get a palindrome (242043303340242).

The spelling of 220021102220220 in words is "two hundred twenty trillion, twenty-one billion, one hundred two million, two hundred twenty thousand, two hundred twenty".