101222110211221 has 8 divisors (see below), whose sum is σ = 101263398327000. Its totient is φ = 101180829024000.

The previous prime is 101222110211191. The next prime is 101222110211269. The reversal of 101222110211221 is 122112011222101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6828741070596 + 94393369140625 = 2613186^2 + 9715625^2 .

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 101222110211221 - 2⁹ = 101222110210709 is a prime.

It is a super-2 number, since 2×101222110211221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222110211291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27593785 + ... + 31046113.

It is an arithmetic number, because the mean of its divisors is an integer number (12657924790875).

Almost surely, 2^{101222110211221} is an apocalyptic number.

It is an amenable number.

101222110211221 is a deficient number, since it is larger than the sum of its proper divisors (41288115779).

101222110211221 is an equidigital number, since it uses as much as digits as its factorization.

101222110211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464279.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101222110211221 its reverse (122112011222101), we get a palindrome (223334121433322).

The spelling of 101222110211221 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, two hundred twenty-one".