101222201200221 has 10 divisors (see below), whose sum is σ = 151208473397982. Its totient is φ = 67481467466760.

The previous prime is 101222201200217. The next prime is 101222201200223. The reversal of 101222201200221 is 122002102222101.

It is a happy number.

101222201200221 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 220 + 1 + 200 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101144254702500 + 77946497721 = 10057050^2 + 279189^2 .

It is not a de Polignac number, because 101222201200221 - 2² = 101222201200217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222201200194 and 101222201200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222201200223) 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 9 ways as a sum of consecutive naturals, for example, 624828402390 + ... + 624828402551.

Almost surely, 2^{101222201200221} is an apocalyptic number.

It is an amenable number.

101222201200221 is a deficient number, since it is larger than the sum of its proper divisors (49986272197761).

101222201200221 is an equidigital number, since it uses as much as digits as its factorization.

101222201200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249656804953 (or 1249656804944 counting only the distinct ones).

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

Adding to 101222201200221 its reverse (122002102222101), we get a palindrome (223224303422322).

The spelling of 101222201200221 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, two hundred thousand, two hundred twenty-one".