220222122101001 has 24 divisors (see below), whose sum is σ = 329586994880520. Its totient is φ = 141582651065856.

The previous prime is 220222122100973. The next prime is 220222122101029. The reversal of 220222122101001 is 100101221222022.

It is a happy number.

220222122101001 is a `hidden beast` number, since 220 + 2 + 221 + 2 + 210 + 10 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (220222122100973) and next prime (220222122101029).

It can be written as a sum of positive squares in 4 ways, for example, as 11850702975225 + 208371419125776 = 3442485^2 + 14435076^2 .

It is not a de Polignac number, because 220222122101001 - 2¹⁷ = 220222121969929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220222122101081) 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 23 ways as a sum of consecutive naturals, for example, 2926191106 + ... + 2926266363.

It is an arithmetic number, because the mean of its divisors is an integer number (13732791453355).

Almost surely, 2^{220222122101001} is an apocalyptic number.

It is an amenable number.

220222122101001 is a deficient number, since it is larger than the sum of its proper divisors (109364872779519).

220222122101001 is a wasteful number, since it uses less digits than its factorization.

220222122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852457625 (or 5852457622 counting only the distinct ones).

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

Adding to 220222122101001 its reverse (100101221222022), we get a palindrome (320323343323023).

The spelling of 220222122101001 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one".