220221122200101 has 60 divisors (see below), whose sum is σ = 361831109447500. Its totient is φ = 133381174037760.

The previous prime is 220221122200097. The next prime is 220221122200129. The reversal of 220221122200101 is 101002221122022.

It is a happy number.

220221122200101 is a `hidden beast` number, since 2 + 20 + 221 + 122 + 200 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94071182940900 + 126149939259201 = 9699030^2 + 11231649^2 .

It is not a de Polignac number, because 220221122200101 - 2² = 220221122200097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221122200141) 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 59 ways as a sum of consecutive naturals, for example, 7928925 + ... + 22434573.

Almost surely, 2^{220221122200101} is an apocalyptic number.

It is an amenable number.

220221122200101 is a deficient number, since it is larger than the sum of its proper divisors (141609987247399).

220221122200101 is a wasteful number, since it uses less digits than its factorization.

220221122200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507232 (or 14507212 counting only the distinct ones).

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

Adding to 220221122200101 its reverse (101002221122022), we get a palindrome (321223343322123).

The spelling of 220221122200101 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred one".