220120122100221 has 32 divisors (see below), whose sum is σ = 372745856179200. Its totient is φ = 125764127368560.

The previous prime is 220120122100189. The next prime is 220120122100223. The reversal of 220120122100221 is 122001221021022.

It is a happy number.

220120122100221 is a `hidden beast` number, since 2 + 20 + 1 + 201 + 221 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 220120122100221 - 2⁵ = 220120122100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220120122100194 and 220120122100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120122100223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85766991 + ... + 88296188.

It is an arithmetic number, because the mean of its divisors is an integer number (11648308005600).

Almost surely, 2^{220120122100221} is an apocalyptic number.

220120122100221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220120122100221 is a deficient number, since it is larger than the sum of its proper divisors (152625734078979).

220120122100221 is a wasteful number, since it uses less digits than its factorization.

220120122100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174069886 (or 174069880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120122100221 its reverse (122001221021022), we get a palindrome (342121343121243).

The spelling of 220120122100221 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".