220221020220201 has 192 divisors, whose sum is σ = 441335728963584. Its totient is φ = 102086664422400.

The previous prime is 220221020220193. The next prime is 220221020220211. The reversal of 220221020220201 is 102022020122022.

220221020220201 is a `hidden beast` number, since 2 + 2 + 0 + 221 + 0 + 20 + 220 + 201 = 666.

It is not a de Polignac number, because 220221020220201 - 2³ = 220221020220193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220221020220211) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 265739176 + ... + 266566598.

It is an arithmetic number, because the mean of its divisors is an integer number (2298623588352).

Almost surely, 2^{220221020220201} is an apocalyptic number.

220221020220201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220221020220201 is an abundant number, since it is smaller than the sum of its proper divisors (221114708743383).

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

220221020220201 is a wasteful number, since it uses less digits than its factorization.

220221020220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828444 (or 828441 counting only the distinct ones).

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

Adding to 220221020220201 its reverse (102022020122022), we get a palindrome (322243040342223).

The spelling of 220221020220201 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty million, two hundred twenty thousand, two hundred one".