101222112221 has 8 divisors (see below), whose sum is σ = 102630764280. Its totient is φ = 99814056192.

The previous prime is 101222112217. The next prime is 101222112241. The reversal of 101222112221 is 122211222101.

It can be written as a sum of positive squares in 4 ways, for example, as 1318706596 + 99903405625 = 36314^2 + 316075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101222112221 - 2² = 101222112217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101222112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222112241) 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 7 ways as a sum of consecutive naturals, for example, 198611 + ... + 491823.

It is an arithmetic number, because the mean of its divisors is an integer number (12828845535).

Almost surely, 2^101222112221 is an apocalyptic number.

It is an amenable number.

101222112221 is a deficient number, since it is larger than the sum of its proper divisors (1408652059).

101222112221 is an equidigital number, since it uses as much as digits as its factorization.

101222112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298015.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101222112221 its reverse (122211222101), we get a palindrome (223433334322).

The spelling of 101222112221 in words is "one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".