101000222102221 has 16 divisors (see below), whose sum is σ = 109414506179440. Its totient is φ = 93229755840000.

The previous prime is 101000222102207. The next prime is 101000222102231. The reversal of 101000222102221 is 122201222000101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36826328140900 + 64173893961321 = 6068470^2 + 8010861^2 .

It is not a de Polignac number, because 101000222102221 - 2¹⁹ = 101000221577933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000222102195 and 101000222102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000222102201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197476801 + ... + 197987593.

It is an arithmetic number, because the mean of its divisors is an integer number (6838406636215).

Almost surely, 2^{101000222102221} is an apocalyptic number.

It is an amenable number.

101000222102221 is a deficient number, since it is larger than the sum of its proper divisors (8414284077219).

101000222102221 is an frugal number, since it uses more digits than its factorization.

101000222102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600833 (or 600807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101000222102221 its reverse (122201222000101), we get a palindrome (223201444102322).

The spelling of 101000222102221 in words is "one hundred one trillion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-one".