101001021222221 has 8 divisors (see below), whose sum is σ = 104572285723800. Its totient is φ = 97435654765120.

The previous prime is 101001021222197. The next prime is 101001021222293. The reversal of 101001021222221 is 122222120100101.

It can be written as a sum of positive squares in 4 ways, for example, as 74084494345225 + 26916526876996 = 8607235^2 + 5188114^2 .

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 101001021222221 - 2¹⁰ = 101001021221197 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 101001021222221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001021222421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474476266 + ... + 1474544763.

It is an arithmetic number, because the mean of its divisors is an integer number (13071535715475).

Almost surely, 2^{101001021222221} is an apocalyptic number.

It is an amenable number.

101001021222221 is a deficient number, since it is larger than the sum of its proper divisors (3571264501579).

101001021222221 is a wasteful number, since it uses less digits than its factorization.

101001021222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949022239.

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

Adding to 101001021222221 its reverse (122222120100101), we get a palindrome (223223141322322).

The spelling of 101001021222221 in words is "one hundred one trillion, one billion, twenty-one million, two hundred twenty-two thousand, two hundred twenty-one".